Least Common Multiple of 76/32, 37/66, 52/40, 39/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/32, 37/66, 52/40, 39/930 quickly i.e. 54834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/32, 37/66, 52/40, 39/930 is 54834.

LCM(76/32, 37/66, 52/40, 39/930) = 54834

LCM of 76/32, 37/66, 52/40, 39/930

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 76/32,37/66,52/40,39/930

Given numbers are 76/32,37/66,52/40,39/930

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 76,37,52,39

Least Common Multiple of Numerators i.e. LCM of 76,37,52,39 is 109668.

GCF of Denominators means GCF of 32,66,40,930 as per the given fractions.

GCF of 32,66,40,930 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,37,52,39

LCM of Fractions 76/32,37/66,52/40,39/930 is 54834

2 76, 37, 52, 39
2 38, 37, 26, 39
13 19, 37, 13, 39
19, 37, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 13 x 19 x 37 x 1 x 3 = 109668

Least Common Multiple of 76,37,52,39 with GCF Formula

Least Common Multiple of 76,37,52,39 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 76,37,52,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,37,52,39) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(76,37,52,39) x common factors =1 x 52 = 52

LCM(76,37,52,39) = ( 76 × 37 × 52 × 39 ) / 52

LCM(76,37,52,39) = 5702736 / 52

LCM(76,37,52,39) = 109668


Lets's calculate GCF of 32,66,40,930

2 32, 66, 40, 930
16, 33, 20, 465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109668/2

Therefore the LCM of Fractions 76/32,37/66,52/40,39/930 is 54834

Greatest Common Factor of 32,66,40,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,66,40,930 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 32,66,40,930 . The biggest common factor number is the GCF number.
So the greatest common factor 32,66,40,930 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 76/32, 37/66, 52/40, 39/930

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 76/32, 37/66, 52/40, 39/930?

Answer: LCM of Numerators as per given numbers 76/32, 37/66, 52/40, 39/930 is

LCM of Numerators i.e. for 76,37,52,39 is 109668

GCF of denominators i.e. for 32,66,40,930 is 2.

Thus, LCM of Fractions is 54834.Finally, LCM of Fractions for 76/32, 37/66, 52/40, 39/930 is 54834.