Least Common Multiple of 37/27, 37/89, 14/66, 79/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/27, 37/89, 14/66, 79/250 quickly i.e. 40922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/27, 37/89, 14/66, 79/250 is 40922.

LCM(37/27, 37/89, 14/66, 79/250) = 40922

LCM of 37/27, 37/89, 14/66, 79/250

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 37/27,37/89,14/66,79/250

Given numbers are 37/27,37/89,14/66,79/250

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 37,37,14,79

Least Common Multiple of Numerators i.e. LCM of 37,37,14,79 is 40922.

GCF of Denominators means GCF of 27,89,66,250 as per the given fractions.

GCF of 27,89,66,250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,37,14,79

LCM of Fractions 37/27,37/89,14/66,79/250 is 40922

37 37, 37, 14, 79
1, 1, 14, 79

∴ So the LCM of the given numbers is 37 x 1 x 1 x 14 x 79 = 40922

Least Common Multiple of 37,37,14,79 with GCF Formula

Least Common Multiple of 37,37,14,79 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 37,37,14,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,37,14,79) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(37,37,14,79) x common factors =1 x 37 = 37

LCM(37,37,14,79) = ( 37 × 37 × 14 × 79 ) / 37

LCM(37,37,14,79) = 1514114 / 37

LCM(37,37,14,79) = 40922


Lets's calculate GCF of 27,89,66,250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40922/1

Therefore the LCM of Fractions 37/27,37/89,14/66,79/250 is 40922

Greatest Common Factor of 27,89,66,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,89,66,250 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 27,89,66,250 . The biggest common factor number is the GCF number.
So the greatest common factor 27,89,66,250 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 37/27, 37/89, 14/66, 79/250

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 37/27, 37/89, 14/66, 79/250?

Answer: LCM of Numerators as per given numbers 37/27, 37/89, 14/66, 79/250 is

LCM of Numerators i.e. for 37,37,14,79 is 40922

GCF of denominators i.e. for 27,89,66,250 is 1.

Thus, LCM of Fractions is 40922.Finally, LCM of Fractions for 37/27, 37/89, 14/66, 79/250 is 40922.