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With the Matra MS670 celebrating 1972 's first win at the 24 Hours of Le Mans . With determination and perseverance followed the French racing team this goal for years. Breakfast had been decided at Matra also to build a 5-liter car, but to focus on the smaller 3-liter class. The existing 3-liter 12-cylinder engine from the Formula 1 came in 1968 for the first time in the Matra MS11 was used, made the decision easy, because this engine was also in the sports car for use.
Following a change in sports car regulating element through the FIA, the large 5-liter sports cars, like the Porsche 917, the Ferrari 512S and the Lola T70, banished from the international circuit, the concept of Matra in Le Mans was suddenly capable of winning. Also waived Ferrari to a Fall in at the Sarthe, so the opposition by Matra on some already somewhat dated Porsche 908 and the immature Alfa Romeo Tipo 33 was limited.
Matra MS670 celebrated with a clear double victory, the third in incoming Porsche 908 long tail of Reinhold Joest had, Michael Weber and Mario Casoni in the target already 19 laps behind the winning duo Henri Pescarolo and Graham Hill . Hill added so that his two Formula 1 World Champion titles and the victory in the 500 miles of Indianapolis, also added the triumph in Le Mans. Second were François Cevert and Howden Ganley in the second of the four used MS670.
Matra also had to accept two defaults. The MS670 from Beltoise / Amon was an accident of Amon already out in the first round. The race of David Hobbs and Jean-Pierre Jabouille stopped a clutch failure after 278 laps.
1973 Matra then went fully into the World Sports Car Championship and won with the MS670, now with the development phase B, the title. In Le Mans, the MS670 were again successful. Henri Pescarolo with a new co-pilot Gérard Larrousse was victorious for the second time, and Jean-Pierre Jaussaud and Jean-Pierre Jabouille were behind Carlos Pace and Arturo Merzario in Ferrari 312PB third parties.
1974, Ferrari had withdrawn completely from the World Sportscar Championship, Matra triumphed again at Le Mans, winning nine of the ten races in the World Championship. The MS670 had reached its final construction phase, parallel already was the last Matra sports car, the MS680 used. The victory at Le Mans but was lowered again with the MS670. Henri Pescarolo won for the third time in a row, Gerard Larrousse was like last year his co-pilot.