Least Common Multiple of 83/251, 386/72, 747/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/251, 386/72, 747/374 quickly i.e. 288342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/251, 386/72, 747/374 is 288342.

LCM(83/251, 386/72, 747/374) = 288342

LCM of 83/251, 386/72, 747/374

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 83/251,386/72,747/374

Given numbers are 83/251,386/72,747/374

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 83,386,747

Least Common Multiple of Numerators i.e. LCM of 83,386,747 is 288342.

GCF of Denominators means GCF of 251,72,374 as per the given fractions.

GCF of 251,72,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,386,747

LCM of Fractions 83/251,386/72,747/374 is 288342

83 83, 386, 747
1, 386, 9

∴ So the LCM of the given numbers is 83 x 1 x 386 x 9 = 288342

Least Common Multiple of 83,386,747 with GCF Formula

Least Common Multiple of 83,386,747 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 83,386,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,386,747) = 1

common factors(in case of two or more numbers have common factors) = 83

GCF(83,386,747) x common factors =1 x 83 = 83

LCM(83,386,747) = ( 83 × 386 × 747 ) / 83

LCM(83,386,747) = 23932386 / 83

LCM(83,386,747) = 288342


Lets's calculate GCF of 251,72,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288342/1

Therefore the LCM of Fractions 83/251,386/72,747/374 is 288342

Greatest Common Factor of 251,72,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,72,374 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 251,72,374 . The biggest common factor number is the GCF number.
So the greatest common factor 251,72,374 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 83/251, 386/72, 747/374

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 83/251, 386/72, 747/374?

Answer: LCM of Numerators as per given numbers 83/251, 386/72, 747/374 is

LCM of Numerators i.e. for 83,386,747 is 288342

GCF of denominators i.e. for 251,72,374 is 1.

Thus, LCM of Fractions is 288342.Finally, LCM of Fractions for 83/251, 386/72, 747/374 is 288342.