Least Common Multiple of 2591/696, 9378/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2591/696, 9378/364 quickly i.e. 24298398/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2591/696, 9378/364 is 24298398/4.

LCM(2591/696, 9378/364) = 24298398/4

LCM of 2591/696, 9378/364

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 2591/696,9378/364

Given numbers are 2591/696,9378/364

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 2591,9378

Least Common Multiple of Numerators i.e. LCM of 2591,9378 is 24298398.

GCF of Denominators means GCF of 696,364 as per the given fractions.

GCF of 696,364 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2591,9378

LCM of Fractions 2591/696,9378/364 is 24298398/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 24298398

Least Common Multiple of 2591,9378 with GCF Formula

Least Common Multiple of 2591,9378 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 2591,9378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2591,9378) = 1

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

GCF(2591,9378) x common factors =1 x 1 = 1

LCM(2591,9378) = ( 2591 × 9378 ) / 1

LCM(2591,9378) = 24298398 / 1

LCM(2591,9378) = 24298398


Lets's calculate GCF of 696,364

2 696, 364
2 348, 182
174, 91

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24298398/4

Therefore the LCM of Fractions 2591/696,9378/364 is 24298398/4

Greatest Common Factor of 696,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,364 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 696,364 . The biggest common factor number is the GCF number.
So the greatest common factor 696,364 is 4.


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 2591/696, 9378/364

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 2591/696, 9378/364?

Answer: LCM of Numerators as per given numbers 2591/696, 9378/364 is

LCM of Numerators i.e. for 2591,9378 is 24298398

GCF of denominators i.e. for 696,364 is 4.

Thus, LCM of Fractions is 24298398/4.Finally, LCM of Fractions for 2591/696, 9378/364 is 24298398/4.