Least Common Multiple of 434, 724, 506, 749

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 434, 724, 506, 749 i.e. 4253070668 smallest integer divisible by all numbers.

Least common multiple (LCM) of 434, 724, 506, 749 is 4253070668.

LCM(434, 724, 506, 749) = 4253070668

LCM of 434, 724, 506, 749

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

LCM of:

Least Common Multiple of 434,724,506,749

Least Common Multiple (LCM) of 434,724,506,749 is 4253070668

2 434, 724, 506, 749
7 217, 362, 253, 749
31, 362, 253, 107

∴ So the LCM of the given numbers is 2 x 7 x 31 x 362 x 253 x 107 = 4253070668

Least Common Multiple of 434,724,506,749 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 434,724,506,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,724,506,749) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(434,724,506,749) x common factors =1 x 28 = 28

LCM(434,724,506,749) = ( 434 × 724 × 506 × 749 ) / 28

LCM(434,724,506,749) = 119085978704 / 28

LCM(434,724,506,749) = 4253070668

∴ Least Common Multiple of 434,724,506,749 is 4253070668

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 434, 724, 506, 749

1. What is the LCM of 434, 724, 506, 749?

Answer: LCM of 434, 724, 506, 749 is 4253070668.

2. What are the Factors of 4253070668?

Answer: Factors of 4253070668 are . There are integers that are factors of 4253070668

3. How to Find the LCM of 434, 724, 506, 749 ?

Least Common Multiple of 434, 724, 506, 749.

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(434, 724, 506, 749) = 2 x 2 x 7 x 11 x 23 x 31 x 107 x 181 = 4253070668.