Least Common Multiple of 135, 281, 272, 752, 510

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 135, 281, 272, 752, 510 i.e. 484961040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 135, 281, 272, 752, 510 is 484961040.

LCM(135, 281, 272, 752, 510) = 484961040

LCM of 135, 281, 272, 752, 510

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

LCM of:

Least Common Multiple of 135,281,272,752,510

Least Common Multiple (LCM) of 135,281,272,752,510 is 484961040

2 135, 281, 272, 752, 510
2 135, 281, 136, 376, 255
2 135, 281, 68, 188, 255
2 135, 281, 34, 94, 255
3 135, 281, 17, 47, 255
5 45, 281, 17, 47, 85
17 9, 281, 17, 47, 17
9, 281, 1, 47, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 17 x 9 x 281 x 1 x 47 x 1 = 484961040

Least Common Multiple of 135,281,272,752,510 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 135,281,272,752,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,281,272,752,510) = 1

common factors(in case of two or more numbers have common factors) = 8160

GCF(135,281,272,752,510) x common factors =1 x 8160 = 8160

LCM(135,281,272,752,510) = ( 135 × 281 × 272 × 752 × 510 ) / 8160

LCM(135,281,272,752,510) = 3957282086400 / 8160

LCM(135,281,272,752,510) = 484961040

∴ Least Common Multiple of 135,281,272,752,510 is 484961040

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 135, 281, 272, 752, 510

1. What is the LCM of 135, 281, 272, 752, 510?

Answer: LCM of 135, 281, 272, 752, 510 is 484961040.

2. What are the Factors of 484961040?

Answer: Factors of 484961040 are . There are integers that are factors of 484961040

3. How to Find the LCM of 135, 281, 272, 752, 510 ?

Least Common Multiple of 135, 281, 272, 752, 510.

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(135, 281, 272, 752, 510) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 47 x 281 = 484961040.