Least Common Multiple of 47/91, 976/72, 365/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/91, 976/72, 365/753 quickly i.e. 16743280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/91, 976/72, 365/753 is 16743280.

LCM(47/91, 976/72, 365/753) = 16743280

LCM of 47/91, 976/72, 365/753

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 47/91,976/72,365/753

Given numbers are 47/91,976/72,365/753

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 47,976,365

Least Common Multiple of Numerators i.e. LCM of 47,976,365 is 16743280.

GCF of Denominators means GCF of 91,72,753 as per the given fractions.

GCF of 91,72,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,976,365

LCM of Fractions 47/91,976/72,365/753 is 16743280

Given numbers has no common factors except 1. So, there LCM is their product i.e 16743280

Least Common Multiple of 47,976,365 with GCF Formula

Least Common Multiple of 47,976,365 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 47,976,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,976,365) = 1

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

GCF(47,976,365) x common factors =1 x 1 = 1

LCM(47,976,365) = ( 47 × 976 × 365 ) / 1

LCM(47,976,365) = 16743280 / 1

LCM(47,976,365) = 16743280


Lets's calculate GCF of 91,72,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16743280/1

Therefore the LCM of Fractions 47/91,976/72,365/753 is 16743280

Greatest Common Factor of 91,72,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,72,753 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

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 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 91,72,753 . The biggest common factor number is the GCF number.
So the greatest common factor 91,72,753 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 47/91, 976/72, 365/753

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 47/91, 976/72, 365/753?

Answer: LCM of Numerators as per given numbers 47/91, 976/72, 365/753 is

LCM of Numerators i.e. for 47,976,365 is 16743280

GCF of denominators i.e. for 91,72,753 is 1.

Thus, LCM of Fractions is 16743280.Finally, LCM of Fractions for 47/91, 976/72, 365/753 is 16743280.