Least Common Multiple of 51, 74, 735
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 51, 74, 735 i.e. 924630 smallest integer divisible by all numbers.
Least common multiple (LCM) of 51, 74, 735 is 924630.
LCM(51, 74, 735) = 924630
LCM of 51, 74, 735
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 51, 74, 735 by common division method
- Least Common Multiple of 51, 74, 735 with GCF Formula
Least Common Multiple (LCM) of 51,74,735 is 924630
| 3 | 51, 74, 735 |
| 17, 74, 245 |
∴ So the LCM of the given numbers is 3 x 17 x 74 x 245 = 924630
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 51,74,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,74,735) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,74,735) x common factors =1 x 3 = 3
LCM(51,74,735) = ( 51 × 74 × 735 ) / 3
LCM(51,74,735) = 2773890 / 3
LCM(51,74,735) = 924630
∴ Least Common Multiple of 51,74,735 is 924630
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Frequently Asked Questions on LCM of 51, 74, 735
1. What is the LCM of 51, 74, 735?
Answer: LCM of 51, 74, 735 is 924630.
2. What are the Factors of 924630?
Answer: Factors of 924630 are . There are integers that are factors of 924630
3. How to Find the LCM of 51, 74, 735 ?
Least Common Multiple of 51, 74, 735.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(51, 74, 735) = 2 x 3 x 5 x 7 x 7 x 17 x 37 = 924630.