Least Common Multiple of 574, 252, 700, 490

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 574, 252, 700, 490 i.e. 1808100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 574, 252, 700, 490 is 1808100.

LCM(574, 252, 700, 490) = 1808100

LCM of 574, 252, 700, 490

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 574,252,700,490

Least Common Multiple (LCM) of 574,252,700,490 is 1808100

2 574, 252, 700, 490
2 287, 126, 350, 245
5 287, 63, 175, 245
7 287, 63, 35, 49
41, 9, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 41 x 9 x 5 x 7 = 1808100

Least Common Multiple of 574,252,700,490 with GCF Formula

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 574,252,700,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,252,700,490) = 14

common factors(in case of two or more numbers have common factors) = 1960

GCF(574,252,700,490) x common factors =14 x 1960 = 27440

LCM(574,252,700,490) = ( 574 × 252 × 700 × 490 ) / 27440

LCM(574,252,700,490) = 49614264000 / 27440

LCM(574,252,700,490) = 1808100

∴ Least Common Multiple of 574,252,700,490 is 1808100

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 574, 252, 700, 490

1. What is the LCM of 574, 252, 700, 490?

Answer: LCM of 574, 252, 700, 490 is 1808100.

2. What are the Factors of 1808100?

Answer: Factors of 1808100 are . There are integers that are factors of 1808100

3. How to Find the LCM of 574, 252, 700, 490 ?

Least Common Multiple of 574, 252, 700, 490.

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(574, 252, 700, 490) = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 41 = 1808100.