Least Common Multiple of 6/114, 24/325, 97/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/114, 24/325, 97/967 quickly i.e. 2328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/114, 24/325, 97/967 is 2328.

LCM(6/114, 24/325, 97/967) = 2328

LCM of 6/114, 24/325, 97/967

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6/114,24/325,97/967

Given numbers are 6/114,24/325,97/967

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6,24,97

Least Common Multiple of Numerators i.e. LCM of 6,24,97 is 2328.

GCF of Denominators means GCF of 114,325,967 as per the given fractions.

GCF of 114,325,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,24,97

LCM of Fractions 6/114,24/325,97/967 is 2328

2 6, 24, 97
3 3, 12, 97
1, 4, 97

∴ So the LCM of the given numbers is 2 x 3 x 1 x 4 x 97 = 2328

Least Common Multiple of 6,24,97 with GCF Formula

Least Common Multiple of 6,24,97 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 6,24,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,24,97) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(6,24,97) x common factors =1 x 6 = 6

LCM(6,24,97) = ( 6 × 24 × 97 ) / 6

LCM(6,24,97) = 13968 / 6

LCM(6,24,97) = 2328


Lets's calculate GCF of 114,325,967

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2328/1

Therefore the LCM of Fractions 6/114,24/325,97/967 is 2328

Greatest Common Factor of 114,325,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,325,967 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 114,325,967 . The biggest common factor number is the GCF number.
So the greatest common factor 114,325,967 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6/114, 24/325, 97/967

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6/114, 24/325, 97/967?

Answer: LCM of Numerators as per given numbers 6/114, 24/325, 97/967 is

LCM of Numerators i.e. for 6,24,97 is 2328

GCF of denominators i.e. for 114,325,967 is 1.

Thus, LCM of Fractions is 2328.Finally, LCM of Fractions for 6/114, 24/325, 97/967 is 2328.