Least Common Multiple of 975/96, 684/2851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/96, 684/2851 quickly i.e. 222300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/96, 684/2851 is 222300.

LCM(975/96, 684/2851) = 222300

LCM of 975/96, 684/2851

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 975/96,684/2851

Given numbers are 975/96,684/2851

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 975,684

Least Common Multiple of Numerators i.e. LCM of 975,684 is 222300.

GCF of Denominators means GCF of 96,2851 as per the given fractions.

GCF of 96,2851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,684

LCM of Fractions 975/96,684/2851 is 222300

3 975, 684
325, 228

∴ So the LCM of the given numbers is 3 x 325 x 228 = 222300

Least Common Multiple of 975,684 with GCF Formula

Least Common Multiple of 975,684 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 975,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,684) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(975,684) x common factors =3 x 1 = 3

LCM(975,684) = ( 975 × 684 ) / 3

LCM(975,684) = 666900 / 3

LCM(975,684) = 222300


Lets's calculate GCF of 96,2851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222300/1

Therefore the LCM of Fractions 975/96,684/2851 is 222300

Greatest Common Factor of 96,2851 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,2851 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 2851

List of positive integer factors of 2851 that divides 2851 without a remainder.

1,2851

Greatest Common Factor

We found the factors 96,2851 . The biggest common factor number is the GCF number.
So the greatest common factor 96,2851 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 975/96, 684/2851

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 975/96, 684/2851?

Answer: LCM of Numerators as per given numbers 975/96, 684/2851 is

LCM of Numerators i.e. for 975,684 is 222300

GCF of denominators i.e. for 96,2851 is 1.

Thus, LCM of Fractions is 222300.Finally, LCM of Fractions for 975/96, 684/2851 is 222300.