Find the mystery number. It is a common multiple of 2,5 and 7. It has 3 digits. The sum of the digits is 10. The number is less than 500

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05-09-2022
Mathematics

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Find the mystery number. It is a common multiple of 2,5 and 7. It has 3 digits. The sum of the digits is 10. The number is less than 500

Sagot :

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varshamittal029 varshamittal029 · Answer 1 · 2022-09-08T01:15:34-04:00

The number is 280

In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).

Two key techniques—the division method and the prime factorization approach—can be used to determine H.C.F. and L.C.M.

So we need to find the LCM of 2,5 and 7. Furthermore, we need to find multiply the LCM with a number which can make its sum of digits equal to 10.

LCM of 2,5 and 7 is 70

70 x 4 = 280

Sum of digits of 280 is 10, which is also less than 500

To learn more about HCF and LCM , refer to https://brainly.com/question/26431349

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