Least Common Multiple of 153, 180, 275, 782

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, 180, 275, 782 i.e. 3870900 smallest integer divisible by all numbers.

Least common multiple (LCM) of 153, 180, 275, 782 is 3870900.

LCM(153, 180, 275, 782) = 3870900

LCM of 153, 180, 275, 782

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

LCM of:

Least Common Multiple of 153,180,275,782

Least Common Multiple (LCM) of 153,180,275,782 is 3870900

2 153, 180, 275, 782
3 153, 90, 275, 391
3 51, 30, 275, 391
5 17, 10, 275, 391
17 17, 2, 55, 391
1, 2, 55, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 17 x 1 x 2 x 55 x 23 = 3870900

Least Common Multiple of 153,180,275,782 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 153,180,275,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,180,275,782) = 1

common factors(in case of two or more numbers have common factors) = 1530

GCF(153,180,275,782) x common factors =1 x 1530 = 1530

LCM(153,180,275,782) = ( 153 × 180 × 275 × 782 ) / 1530

LCM(153,180,275,782) = 5922477000 / 1530

LCM(153,180,275,782) = 3870900

∴ Least Common Multiple of 153,180,275,782 is 3870900

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 153, 180, 275, 782

1. What is the LCM of 153, 180, 275, 782?

Answer: LCM of 153, 180, 275, 782 is 3870900.

2. What are the Factors of 3870900?

Answer: Factors of 3870900 are . There are integers that are factors of 3870900

3. How to Find the LCM of 153, 180, 275, 782 ?

Least Common Multiple of 153, 180, 275, 782.

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, 180, 275, 782) = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 17 x 23 = 3870900.