Least Common Multiple of 406, 749, 736, 686

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 406, 749, 736, 686 i.e. 783346144 smallest integer divisible by all numbers.

Least common multiple (LCM) of 406, 749, 736, 686 is 783346144.

LCM(406, 749, 736, 686) = 783346144

LCM of 406, 749, 736, 686

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

LCM of:

Least Common Multiple of 406,749,736,686

Least Common Multiple (LCM) of 406,749,736,686 is 783346144

2 406, 749, 736, 686
7 203, 749, 368, 343
29, 107, 368, 49

∴ So the LCM of the given numbers is 2 x 7 x 29 x 107 x 368 x 49 = 783346144

Least Common Multiple of 406,749,736,686 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 406,749,736,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,749,736,686) = 1

common factors(in case of two or more numbers have common factors) = 196

GCF(406,749,736,686) x common factors =1 x 196 = 196

LCM(406,749,736,686) = ( 406 × 749 × 736 × 686 ) / 196

LCM(406,749,736,686) = 153535844224 / 196

LCM(406,749,736,686) = 783346144

∴ Least Common Multiple of 406,749,736,686 is 783346144

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 406, 749, 736, 686

1. What is the LCM of 406, 749, 736, 686?

Answer: LCM of 406, 749, 736, 686 is 783346144.

2. What are the Factors of 783346144?

Answer: Factors of 783346144 are . There are integers that are factors of 783346144

3. How to Find the LCM of 406, 749, 736, 686 ?

Least Common Multiple of 406, 749, 736, 686.

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(406, 749, 736, 686) = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7 x 23 x 29 x 107 = 783346144.