Least Common Multiple of 140, 306, 996, 560, 760

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 140, 306, 996, 560, 760 i.e. 135117360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 140, 306, 996, 560, 760 is 135117360.

LCM(140, 306, 996, 560, 760) = 135117360

LCM of 140, 306, 996, 560, 760

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

LCM of:

Least Common Multiple of 140,306,996,560,760

Least Common Multiple (LCM) of 140,306,996,560,760 is 135117360

2 140, 306, 996, 560, 760
2 70, 153, 498, 280, 380
2 35, 153, 249, 140, 190
3 35, 153, 249, 70, 95
5 35, 51, 83, 70, 95
7 7, 51, 83, 14, 19
1, 51, 83, 2, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 1 x 51 x 83 x 2 x 19 = 135117360

Least Common Multiple of 140,306,996,560,760 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 140,306,996,560,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,306,996,560,760) = 2

common factors(in case of two or more numbers have common factors) = 67200

GCF(140,306,996,560,760) x common factors =2 x 67200 = 134400

LCM(140,306,996,560,760) = ( 140 × 306 × 996 × 560 × 760 ) / 134400

LCM(140,306,996,560,760) = 18159773184000 / 134400

LCM(140,306,996,560,760) = 135117360

∴ Least Common Multiple of 140,306,996,560,760 is 135117360

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 140, 306, 996, 560, 760

1. What is the LCM of 140, 306, 996, 560, 760?

Answer: LCM of 140, 306, 996, 560, 760 is 135117360.

2. What are the Factors of 135117360?

Answer: Factors of 135117360 are . There are integers that are factors of 135117360

3. How to Find the LCM of 140, 306, 996, 560, 760 ?

Least Common Multiple of 140, 306, 996, 560, 760.

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(140, 306, 996, 560, 760) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 19 x 83 = 135117360.