Least Common Multiple of 43/72, 10/44, 780/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/72, 10/44, 780/475 quickly i.e. 33540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/72, 10/44, 780/475 is 33540.

LCM(43/72, 10/44, 780/475) = 33540

LCM of 43/72, 10/44, 780/475

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 43/72,10/44,780/475

Given numbers are 43/72,10/44,780/475

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 43,10,780

Least Common Multiple of Numerators i.e. LCM of 43,10,780 is 33540.

GCF of Denominators means GCF of 72,44,475 as per the given fractions.

GCF of 72,44,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,10,780

LCM of Fractions 43/72,10/44,780/475 is 33540

2 43, 10, 780
5 43, 5, 390
43, 1, 78

∴ So the LCM of the given numbers is 2 x 5 x 43 x 1 x 78 = 33540

Least Common Multiple of 43,10,780 with GCF Formula

Least Common Multiple of 43,10,780 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 43,10,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,10,780) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(43,10,780) x common factors =1 x 10 = 10

LCM(43,10,780) = ( 43 × 10 × 780 ) / 10

LCM(43,10,780) = 335400 / 10

LCM(43,10,780) = 33540


Lets's calculate GCF of 72,44,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33540/1

Therefore the LCM of Fractions 43/72,10/44,780/475 is 33540

Greatest Common Factor of 72,44,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,44,475 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 72,44,475 . The biggest common factor number is the GCF number.
So the greatest common factor 72,44,475 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 43/72, 10/44, 780/475

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 43/72, 10/44, 780/475?

Answer: LCM of Numerators as per given numbers 43/72, 10/44, 780/475 is

LCM of Numerators i.e. for 43,10,780 is 33540

GCF of denominators i.e. for 72,44,475 is 1.

Thus, LCM of Fractions is 33540.Finally, LCM of Fractions for 43/72, 10/44, 780/475 is 33540.