Least Common Multiple of 706, 341, 220, 840, 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 706, 341, 220, 840, 749 i.e. 10819125240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 706, 341, 220, 840, 749 is 10819125240.

LCM(706, 341, 220, 840, 749) = 10819125240

LCM of 706, 341, 220, 840, 749

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

LCM of:

Least Common Multiple of 706,341,220,840,749

Least Common Multiple (LCM) of 706,341,220,840,749 is 10819125240

2 706, 341, 220, 840, 749
2 353, 341, 110, 420, 749
5 353, 341, 55, 210, 749
7 353, 341, 11, 42, 749
11 353, 341, 11, 6, 107
353, 31, 1, 6, 107

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 11 x 353 x 31 x 1 x 6 x 107 = 10819125240

Least Common Multiple of 706,341,220,840,749 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 706,341,220,840,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,341,220,840,749) = 1

common factors(in case of two or more numbers have common factors) = 3080

GCF(706,341,220,840,749) x common factors =1 x 3080 = 3080

LCM(706,341,220,840,749) = ( 706 × 341 × 220 × 840 × 749 ) / 3080

LCM(706,341,220,840,749) = 33322905739200 / 3080

LCM(706,341,220,840,749) = 10819125240

∴ Least Common Multiple of 706,341,220,840,749 is 10819125240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 706, 341, 220, 840, 749

1. What is the LCM of 706, 341, 220, 840, 749?

Answer: LCM of 706, 341, 220, 840, 749 is 10819125240.

2. What are the Factors of 10819125240?

Answer: Factors of 10819125240 are . There are integers that are factors of 10819125240

3. How to Find the LCM of 706, 341, 220, 840, 749 ?

Least Common Multiple of 706, 341, 220, 840, 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(706, 341, 220, 840, 749) = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 31 x 107 x 353 = 10819125240.