Least Common Multiple of 37/108, 71/674, 527/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/108, 71/674, 527/966 quickly i.e. 1384429/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/108, 71/674, 527/966 is 1384429/2.

LCM(37/108, 71/674, 527/966) = 1384429/2

LCM of 37/108, 71/674, 527/966

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 37/108,71/674,527/966

Given numbers are 37/108,71/674,527/966

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 37,71,527

Least Common Multiple of Numerators i.e. LCM of 37,71,527 is 1384429.

GCF of Denominators means GCF of 108,674,966 as per the given fractions.

GCF of 108,674,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,71,527

LCM of Fractions 37/108,71/674,527/966 is 1384429/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1384429

Least Common Multiple of 37,71,527 with GCF Formula

Least Common Multiple of 37,71,527 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 37,71,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,71,527) = 1

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

GCF(37,71,527) x common factors =1 x 1 = 1

LCM(37,71,527) = ( 37 × 71 × 527 ) / 1

LCM(37,71,527) = 1384429 / 1

LCM(37,71,527) = 1384429


Lets's calculate GCF of 108,674,966

2 108, 674, 966
54, 337, 483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1384429/2

Therefore the LCM of Fractions 37/108,71/674,527/966 is 1384429/2

Greatest Common Factor of 108,674,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,674,966 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 108,674,966 . The biggest common factor number is the GCF number.
So the greatest common factor 108,674,966 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 37/108, 71/674, 527/966

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 37/108, 71/674, 527/966?

Answer: LCM of Numerators as per given numbers 37/108, 71/674, 527/966 is

LCM of Numerators i.e. for 37,71,527 is 1384429

GCF of denominators i.e. for 108,674,966 is 2.

Thus, LCM of Fractions is 1384429/2.Finally, LCM of Fractions for 37/108, 71/674, 527/966 is 1384429/2.