Least Common Multiple of 910/32, 2977/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 910/32, 2977/342 quickly i.e. 104195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 910/32, 2977/342 is 104195.

LCM(910/32, 2977/342) = 104195

LCM of 910/32, 2977/342

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 910/32,2977/342

Given numbers are 910/32,2977/342

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 910,2977

Least Common Multiple of Numerators i.e. LCM of 910,2977 is 208390.

GCF of Denominators means GCF of 32,342 as per the given fractions.

GCF of 32,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 910,2977

LCM of Fractions 910/32,2977/342 is 104195

13 910, 2977
70, 229

∴ So the LCM of the given numbers is 13 x 70 x 229 = 208390

Least Common Multiple of 910,2977 with GCF Formula

Least Common Multiple of 910,2977 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 910,2977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,2977) = 13

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

GCF(910,2977) x common factors =13 x 1 = 13

LCM(910,2977) = ( 910 × 2977 ) / 13

LCM(910,2977) = 2709070 / 13

LCM(910,2977) = 208390


Lets's calculate GCF of 32,342

2 32, 342
16, 171

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208390/2

Therefore the LCM of Fractions 910/32,2977/342 is 104195

Greatest Common Factor of 32,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,342 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 32,342 . The biggest common factor number is the GCF number.
So the greatest common factor 32,342 is 2.


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 910/32, 2977/342

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 910/32, 2977/342?

Answer: LCM of Numerators as per given numbers 910/32, 2977/342 is

LCM of Numerators i.e. for 910,2977 is 208390

GCF of denominators i.e. for 32,342 is 2.

Thus, LCM of Fractions is 104195.Finally, LCM of Fractions for 910/32, 2977/342 is 104195.