Least Common Multiple of 153, 279, 242, 749, 260

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 153, 279, 242, 749, 260 i.e. 111761870220 smallest integer divisible by all numbers.

Least common multiple (LCM) of 153, 279, 242, 749, 260 is 111761870220.

LCM(153, 279, 242, 749, 260) = 111761870220

LCM of 153, 279, 242, 749, 260

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

LCM of:

Least Common Multiple of 153,279,242,749,260

Least Common Multiple (LCM) of 153,279,242,749,260 is 111761870220

2 153, 279, 242, 749, 260
3 153, 279, 121, 749, 130
3 51, 93, 121, 749, 130
17, 31, 121, 749, 130

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 31 x 121 x 749 x 130 = 111761870220

Least Common Multiple of 153,279,242,749,260 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 153,279,242,749,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,279,242,749,260) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(153,279,242,749,260) x common factors =1 x 18 = 18

LCM(153,279,242,749,260) = ( 153 × 279 × 242 × 749 × 260 ) / 18

LCM(153,279,242,749,260) = 2011713663960 / 18

LCM(153,279,242,749,260) = 111761870220

∴ Least Common Multiple of 153,279,242,749,260 is 111761870220

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 153, 279, 242, 749, 260

1. What is the LCM of 153, 279, 242, 749, 260?

Answer: LCM of 153, 279, 242, 749, 260 is 111761870220.

2. What are the Factors of 111761870220?

Answer: Factors of 111761870220 are . There are integers that are factors of 111761870220

3. How to Find the LCM of 153, 279, 242, 749, 260 ?

Least Common Multiple of 153, 279, 242, 749, 260.

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(153, 279, 242, 749, 260) = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 11 x 13 x 17 x 31 x 107 = 111761870220.