Least Common Multiple of 73/453, 72/310, 644/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/453, 72/310, 644/116 quickly i.e. 846216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/453, 72/310, 644/116 is 846216.

LCM(73/453, 72/310, 644/116) = 846216

LCM of 73/453, 72/310, 644/116

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 73/453,72/310,644/116

Given numbers are 73/453,72/310,644/116

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 73,72,644

Least Common Multiple of Numerators i.e. LCM of 73,72,644 is 846216.

GCF of Denominators means GCF of 453,310,116 as per the given fractions.

GCF of 453,310,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,72,644

LCM of Fractions 73/453,72/310,644/116 is 846216

2 73, 72, 644
2 73, 36, 322
73, 18, 161

∴ So the LCM of the given numbers is 2 x 2 x 73 x 18 x 161 = 846216

Least Common Multiple of 73,72,644 with GCF Formula

Least Common Multiple of 73,72,644 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 73,72,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,72,644) = 1

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

GCF(73,72,644) x common factors =1 x 4 = 4

LCM(73,72,644) = ( 73 × 72 × 644 ) / 4

LCM(73,72,644) = 3384864 / 4

LCM(73,72,644) = 846216


Lets's calculate GCF of 453,310,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 846216/1

Therefore the LCM of Fractions 73/453,72/310,644/116 is 846216

Greatest Common Factor of 453,310,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,310,116 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 453,310,116 . The biggest common factor number is the GCF number.
So the greatest common factor 453,310,116 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/453, 72/310, 644/116

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 73/453, 72/310, 644/116?

Answer: LCM of Numerators as per given numbers 73/453, 72/310, 644/116 is

LCM of Numerators i.e. for 73,72,644 is 846216

GCF of denominators i.e. for 453,310,116 is 1.

Thus, LCM of Fractions is 846216.Finally, LCM of Fractions for 73/453, 72/310, 644/116 is 846216.