Least Common Multiple of 84, 25, 55, 77, 256

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 84, 25, 55, 77, 256 i.e. 1478400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 84, 25, 55, 77, 256 is 1478400.

LCM(84, 25, 55, 77, 256) = 1478400

LCM of 84, 25, 55, 77, 256

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

LCM of:

Least Common Multiple of 84,25,55,77,256

Least Common Multiple (LCM) of 84,25,55,77,256 is 1478400

2 84, 25, 55, 77, 256
2 42, 25, 55, 77, 128
5 21, 25, 55, 77, 64
7 21, 5, 11, 77, 64
11 3, 5, 11, 11, 64
3, 5, 1, 1, 64

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 11 x 3 x 5 x 1 x 1 x 64 = 1478400

Least Common Multiple of 84,25,55,77,256 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 84,25,55,77,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,25,55,77,256) = 1

common factors(in case of two or more numbers have common factors) = 1540

GCF(84,25,55,77,256) x common factors =1 x 1540 = 1540

LCM(84,25,55,77,256) = ( 84 × 25 × 55 × 77 × 256 ) / 1540

LCM(84,25,55,77,256) = 2276736000 / 1540

LCM(84,25,55,77,256) = 1478400

∴ Least Common Multiple of 84,25,55,77,256 is 1478400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 84, 25, 55, 77, 256

1. What is the LCM of 84, 25, 55, 77, 256?

Answer: LCM of 84, 25, 55, 77, 256 is 1478400.

2. What are the Factors of 1478400?

Answer: Factors of 1478400 are . There are integers that are factors of 1478400

3. How to Find the LCM of 84, 25, 55, 77, 256 ?

Least Common Multiple of 84, 25, 55, 77, 256.

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(84, 25, 55, 77, 256) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 = 1478400.