Least Common Multiple of 584/43, 237/7766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/43, 237/7766 quickly i.e. 138408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/43, 237/7766 is 138408.

LCM(584/43, 237/7766) = 138408

LCM of 584/43, 237/7766

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 584/43,237/7766

Given numbers are 584/43,237/7766

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 584,237

Least Common Multiple of Numerators i.e. LCM of 584,237 is 138408.

GCF of Denominators means GCF of 43,7766 as per the given fractions.

GCF of 43,7766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,237

LCM of Fractions 584/43,237/7766 is 138408

Given numbers has no common factors except 1. So, there LCM is their product i.e 138408

Least Common Multiple of 584,237 with GCF Formula

Least Common Multiple of 584,237 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 584,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,237) = 1

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

GCF(584,237) x common factors =1 x 1 = 1

LCM(584,237) = ( 584 × 237 ) / 1

LCM(584,237) = 138408 / 1

LCM(584,237) = 138408


Lets's calculate GCF of 43,7766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138408/1

Therefore the LCM of Fractions 584/43,237/7766 is 138408

Greatest Common Factor of 43,7766 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,7766 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 7766

List of positive integer factors of 7766 that divides 7766 without a remainder.

1,2,11,22,353,706,3883,7766

Greatest Common Factor

We found the factors 43,7766 . The biggest common factor number is the GCF number.
So the greatest common factor 43,7766 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 584/43, 237/7766

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 584/43, 237/7766?

Answer: LCM of Numerators as per given numbers 584/43, 237/7766 is

LCM of Numerators i.e. for 584,237 is 138408

GCF of denominators i.e. for 43,7766 is 1.

Thus, LCM of Fractions is 138408.Finally, LCM of Fractions for 584/43, 237/7766 is 138408.