Least Common Multiple of 2362/976, 2310/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2362/976, 2310/368 quickly i.e. 2728110/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2362/976, 2310/368 is 2728110/16.

LCM(2362/976, 2310/368) = 2728110/16

LCM of 2362/976, 2310/368

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 2362/976,2310/368

Given numbers are 2362/976,2310/368

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 2362,2310

Least Common Multiple of Numerators i.e. LCM of 2362,2310 is 2728110.

GCF of Denominators means GCF of 976,368 as per the given fractions.

GCF of 976,368 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2362,2310

LCM of Fractions 2362/976,2310/368 is 2728110/16

2 2362, 2310
1181, 1155

∴ So the LCM of the given numbers is 2 x 1181 x 1155 = 2728110

Least Common Multiple of 2362,2310 with GCF Formula

Least Common Multiple of 2362,2310 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 2362,2310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2362,2310) = 2

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

GCF(2362,2310) x common factors =2 x 1 = 2

LCM(2362,2310) = ( 2362 × 2310 ) / 2

LCM(2362,2310) = 5456220 / 2

LCM(2362,2310) = 2728110


Lets's calculate GCF of 976,368

2 976, 368
2 488, 184
2 244, 92
2 122, 46
61, 23

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2728110/16

Therefore the LCM of Fractions 2362/976,2310/368 is 2728110/16

Greatest Common Factor of 976,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,368 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 976,368 . The biggest common factor number is the GCF number.
So the greatest common factor 976,368 is 16.


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 2362/976, 2310/368

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 2362/976, 2310/368?

Answer: LCM of Numerators as per given numbers 2362/976, 2310/368 is

LCM of Numerators i.e. for 2362,2310 is 2728110

GCF of denominators i.e. for 976,368 is 16.

Thus, LCM of Fractions is 2728110/16.Finally, LCM of Fractions for 2362/976, 2310/368 is 2728110/16.