Least Common Multiple of 89, 70, 77, 480

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 89, 70, 77, 480 i.e. 3289440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 89, 70, 77, 480 is 3289440.

LCM(89, 70, 77, 480) = 3289440

LCM of 89, 70, 77, 480

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

LCM of:

Least Common Multiple of 89,70,77,480

Least Common Multiple (LCM) of 89,70,77,480 is 3289440

2 89, 70, 77, 480
5 89, 35, 77, 240
7 89, 7, 77, 48
89, 1, 11, 48

∴ So the LCM of the given numbers is 2 x 5 x 7 x 89 x 1 x 11 x 48 = 3289440

Least Common Multiple of 89,70,77,480 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 89,70,77,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,70,77,480) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(89,70,77,480) x common factors =1 x 70 = 70

LCM(89,70,77,480) = ( 89 × 70 × 77 × 480 ) / 70

LCM(89,70,77,480) = 230260800 / 70

LCM(89,70,77,480) = 3289440

∴ Least Common Multiple of 89,70,77,480 is 3289440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 89, 70, 77, 480

1. What is the LCM of 89, 70, 77, 480?

Answer: LCM of 89, 70, 77, 480 is 3289440.

2. What are the Factors of 3289440?

Answer: Factors of 3289440 are . There are integers that are factors of 3289440

3. How to Find the LCM of 89, 70, 77, 480 ?

Least Common Multiple of 89, 70, 77, 480.

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(89, 70, 77, 480) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 89 = 3289440.