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Two numbers are in the ratio 4: 7. If their L.C.M. is 168,The numbers would be 56 and 98.
The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm) in mathematics and number theory. It can also be referred to as the lowest common multiple (lcm), or the smallest common multiple of two numbers (a and b).
The given ratio is 4:7, which can be written as 4/7.
To find the individual numbers, we can use the formula:
Number1 = LCM × Ratio1/ (Ratio1 + Ratio2)
Number2 = LCM × Ratio2/ (Ratio1 + Ratio2)
Therefore,
Number1 = 168 × 4/ (4 + 7) = 56
Number2 = 168 × 7/ (4 + 7) = 98
Learn more about LCM here
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