Least Common Multiple of 73/108, 5101/3780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/108, 5101/3780 quickly i.e. 372373/108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/108, 5101/3780 is 372373/108.

LCM(73/108, 5101/3780) = 372373/108

LCM of 73/108, 5101/3780

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 73/108,5101/3780

Given numbers are 73/108,5101/3780

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 73,5101

Least Common Multiple of Numerators i.e. LCM of 73,5101 is 372373.

GCF of Denominators means GCF of 108,3780 as per the given fractions.

GCF of 108,3780 is 108 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,5101

LCM of Fractions 73/108,5101/3780 is 372373/108

Given numbers has no common factors except 1. So, there LCM is their product i.e 372373

Least Common Multiple of 73,5101 with GCF Formula

Least Common Multiple of 73,5101 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 73,5101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,5101) = 1

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

GCF(73,5101) x common factors =1 x 1 = 1

LCM(73,5101) = ( 73 × 5101 ) / 1

LCM(73,5101) = 372373 / 1

LCM(73,5101) = 372373


Lets's calculate GCF of 108,3780

2 108, 3780
2 54, 1890
3 27, 945
3 9, 315
3 3, 105
1, 35

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372373/108

Therefore the LCM of Fractions 73/108,5101/3780 is 372373/108

Greatest Common Factor of 108,3780 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,3780 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 3780

List of positive integer factors of 3780 that divides 3780 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780

Greatest Common Factor

We found the factors 108,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 108,3780 is 108.


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 73/108, 5101/3780

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 73/108, 5101/3780?

Answer: LCM of Numerators as per given numbers 73/108, 5101/3780 is

LCM of Numerators i.e. for 73,5101 is 372373

GCF of denominators i.e. for 108,3780 is 108.

Thus, LCM of Fractions is 372373/108.Finally, LCM of Fractions for 73/108, 5101/3780 is 372373/108.