Least Common Multiple of 989, 142, 168, 805, 280

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 989, 142, 168, 805, 280 i.e. 58983960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 989, 142, 168, 805, 280 is 58983960.

LCM(989, 142, 168, 805, 280) = 58983960

LCM of 989, 142, 168, 805, 280

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

LCM of:

Least Common Multiple of 989,142,168,805,280

Least Common Multiple (LCM) of 989,142,168,805,280 is 58983960

2 989, 142, 168, 805, 280
2 989, 71, 84, 805, 140
2 989, 71, 42, 805, 70
5 989, 71, 21, 805, 35
7 989, 71, 21, 161, 7
23 989, 71, 3, 23, 1
43, 71, 3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 23 x 43 x 71 x 3 x 1 x 1 = 58983960

Least Common Multiple of 989,142,168,805,280 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 989,142,168,805,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,142,168,805,280) = 1

common factors(in case of two or more numbers have common factors) = 90160

GCF(989,142,168,805,280) x common factors =1 x 90160 = 90160

LCM(989,142,168,805,280) = ( 989 × 142 × 168 × 805 × 280 ) / 90160

LCM(989,142,168,805,280) = 5317993833600 / 90160

LCM(989,142,168,805,280) = 58983960

∴ Least Common Multiple of 989,142,168,805,280 is 58983960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 989, 142, 168, 805, 280

1. What is the LCM of 989, 142, 168, 805, 280?

Answer: LCM of 989, 142, 168, 805, 280 is 58983960.

2. What are the Factors of 58983960?

Answer: Factors of 58983960 are . There are integers that are factors of 58983960

3. How to Find the LCM of 989, 142, 168, 805, 280 ?

Least Common Multiple of 989, 142, 168, 805, 280.

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(989, 142, 168, 805, 280) = 2 x 2 x 2 x 3 x 5 x 7 x 23 x 43 x 71 = 58983960.