Least Common Multiple of 714, 5202
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 714, 5202 i.e. 36414 smallest integer divisible by all numbers.
Least common multiple (LCM) of 714, 5202 is 36414.
LCM(714, 5202) = 36414
LCM of 714, 5202
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 714, 5202 by common division method
- Least Common Multiple of 714, 5202 with GCF Formula
Least Common Multiple (LCM) of 714,5202 is 36414
| 2 | 714, 5202 |
| 3 | 357, 2601 |
| 17 | 119, 867 |
| 7, 51 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 51 = 36414
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 714,5202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,5202) = 102
common factors(in case of two or more numbers have common factors) = 1
GCF(714,5202) x common factors =102 x 1 = 102
LCM(714,5202) = ( 714 × 5202 ) / 102
LCM(714,5202) = 3714228 / 102
LCM(714,5202) = 36414
∴ Least Common Multiple of 714,5202 is 36414
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Frequently Asked Questions on LCM of 714, 5202
1. What is the LCM of 714, 5202?
Answer: LCM of 714, 5202 is 36414.
2. What are the Factors of 36414?
Answer: Factors of 36414 are . There are integers that are factors of 36414
3. How to Find the LCM of 714, 5202 ?
Least Common Multiple of 714, 5202.
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(714, 5202) = 2 x 3 x 3 x 7 x 17 x 17 = 36414.