Least Common Multiple of 30, 168, 980

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 30, 168, 980 i.e. 5880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 168, 980 is 5880.

LCM(30, 168, 980) = 5880

LCM of 30, 168, 980

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

LCM of:

Least Common Multiple of 30,168,980

Least Common Multiple (LCM) of 30,168,980 is 5880

2 30, 168, 980
2 15, 84, 490
3 15, 42, 245
5 5, 14, 245
7 1, 14, 49
1, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 2 x 7 = 5880

Least Common Multiple of 30,168,980 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 30,168,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,168,980) = 2

common factors(in case of two or more numbers have common factors) = 420

GCF(30,168,980) x common factors =2 x 420 = 840

LCM(30,168,980) = ( 30 × 168 × 980 ) / 840

LCM(30,168,980) = 4939200 / 840

LCM(30,168,980) = 5880

∴ Least Common Multiple of 30,168,980 is 5880

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 30, 168, 980

1. What is the LCM of 30, 168, 980?

Answer: LCM of 30, 168, 980 is 5880.

2. What are the Factors of 5880?

Answer: Factors of 5880 are . There are integers that are factors of 5880

3. How to Find the LCM of 30, 168, 980 ?

Least Common Multiple of 30, 168, 980.

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(30, 168, 980) = 2 x 2 x 2 x 3 x 5 x 7 x 7 = 5880.