Least Common Multiple of 429, 708, 468, 428, 700

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 429, 708, 468, 428, 700 i.e. 5687381700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 429, 708, 468, 428, 700 is 5687381700.

LCM(429, 708, 468, 428, 700) = 5687381700

LCM of 429, 708, 468, 428, 700

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

LCM of:

Least Common Multiple of 429,708,468,428,700

Least Common Multiple (LCM) of 429,708,468,428,700 is 5687381700

2 429, 708, 468, 428, 700
2 429, 354, 234, 214, 350
3 429, 177, 117, 107, 175
13 143, 59, 39, 107, 175
11, 59, 3, 107, 175

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 11 x 59 x 3 x 107 x 175 = 5687381700

Least Common Multiple of 429,708,468,428,700 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 429,708,468,428,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,708,468,428,700) = 1

common factors(in case of two or more numbers have common factors) = 7488

GCF(429,708,468,428,700) x common factors =1 x 7488 = 7488

LCM(429,708,468,428,700) = ( 429 × 708 × 468 × 428 × 700 ) / 7488

LCM(429,708,468,428,700) = 42587114169600 / 7488

LCM(429,708,468,428,700) = 5687381700

∴ Least Common Multiple of 429,708,468,428,700 is 5687381700

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 429, 708, 468, 428, 700

1. What is the LCM of 429, 708, 468, 428, 700?

Answer: LCM of 429, 708, 468, 428, 700 is 5687381700.

2. What are the Factors of 5687381700?

Answer: Factors of 5687381700 are . There are integers that are factors of 5687381700

3. How to Find the LCM of 429, 708, 468, 428, 700 ?

Least Common Multiple of 429, 708, 468, 428, 700.

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(429, 708, 468, 428, 700) = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 13 x 59 x 107 = 5687381700.