Least Common Multiple of 68, 98, 21, 84, 31

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 68, 98, 21, 84, 31 i.e. 309876 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 98, 21, 84, 31 is 309876.

LCM(68, 98, 21, 84, 31) = 309876

LCM of 68, 98, 21, 84, 31

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

LCM of:

Least Common Multiple of 68,98,21,84,31

Least Common Multiple (LCM) of 68,98,21,84,31 is 309876

2 68, 98, 21, 84, 31
2 34, 49, 21, 42, 31
3 17, 49, 21, 21, 31
7 17, 49, 7, 7, 31
17, 1, 1, 7, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 17 x 1 x 1 x 7 x 31 = 309876

Least Common Multiple of 68,98,21,84,31 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 68,98,21,84,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,98,21,84,31) = 1

common factors(in case of two or more numbers have common factors) = 1176

GCF(68,98,21,84,31) x common factors =1 x 1176 = 1176

LCM(68,98,21,84,31) = ( 68 × 98 × 21 × 84 × 31 ) / 1176

LCM(68,98,21,84,31) = 364414176 / 1176

LCM(68,98,21,84,31) = 309876

∴ Least Common Multiple of 68,98,21,84,31 is 309876

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 68, 98, 21, 84, 31

1. What is the LCM of 68, 98, 21, 84, 31?

Answer: LCM of 68, 98, 21, 84, 31 is 309876.

2. What are the Factors of 309876?

Answer: Factors of 309876 are . There are integers that are factors of 309876

3. How to Find the LCM of 68, 98, 21, 84, 31 ?

Least Common Multiple of 68, 98, 21, 84, 31.

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(68, 98, 21, 84, 31) = 2 x 2 x 3 x 7 x 7 x 17 x 31 = 309876.