Least Common Multiple of 76/940, 73/552, 120/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/940, 73/552, 120/320 quickly i.e. 41610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/940, 73/552, 120/320 is 41610.

LCM(76/940, 73/552, 120/320) = 41610

LCM of 76/940, 73/552, 120/320

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 76/940,73/552,120/320

Given numbers are 76/940,73/552,120/320

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 76,73,120

Least Common Multiple of Numerators i.e. LCM of 76,73,120 is 166440.

GCF of Denominators means GCF of 940,552,320 as per the given fractions.

GCF of 940,552,320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,73,120

LCM of Fractions 76/940,73/552,120/320 is 41610

2 76, 73, 120
2 38, 73, 60
19, 73, 30

∴ So the LCM of the given numbers is 2 x 2 x 19 x 73 x 30 = 166440

Least Common Multiple of 76,73,120 with GCF Formula

Least Common Multiple of 76,73,120 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 76,73,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,73,120) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,73,120) x common factors =1 x 4 = 4

LCM(76,73,120) = ( 76 × 73 × 120 ) / 4

LCM(76,73,120) = 665760 / 4

LCM(76,73,120) = 166440


Lets's calculate GCF of 940,552,320

2 940, 552, 320
2 470, 276, 160
235, 138, 80

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166440/4

Therefore the LCM of Fractions 76/940,73/552,120/320 is 41610

Greatest Common Factor of 940,552,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,552,320 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 940,552,320 . The biggest common factor number is the GCF number.
So the greatest common factor 940,552,320 is 4.


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 76/940, 73/552, 120/320

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 76/940, 73/552, 120/320?

Answer: LCM of Numerators as per given numbers 76/940, 73/552, 120/320 is

LCM of Numerators i.e. for 76,73,120 is 166440

GCF of denominators i.e. for 940,552,320 is 4.

Thus, LCM of Fractions is 41610.Finally, LCM of Fractions for 76/940, 73/552, 120/320 is 41610.