Least Common Multiple of 648/89, 991/78, 352/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 648/89, 991/78, 352/737 quickly i.e. 28255392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/89, 991/78, 352/737 is 28255392.

LCM(648/89, 991/78, 352/737) = 28255392

LCM of 648/89, 991/78, 352/737

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 648/89,991/78,352/737

Given numbers are 648/89,991/78,352/737

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 648,991,352

Least Common Multiple of Numerators i.e. LCM of 648,991,352 is 28255392.

GCF of Denominators means GCF of 89,78,737 as per the given fractions.

GCF of 89,78,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,991,352

LCM of Fractions 648/89,991/78,352/737 is 28255392

2 648, 991, 352
2 324, 991, 176
2 162, 991, 88
81, 991, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 991 x 44 = 28255392

Least Common Multiple of 648,991,352 with GCF Formula

Least Common Multiple of 648,991,352 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 648,991,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,991,352) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(648,991,352) x common factors =1 x 8 = 8

LCM(648,991,352) = ( 648 × 991 × 352 ) / 8

LCM(648,991,352) = 226043136 / 8

LCM(648,991,352) = 28255392


Lets's calculate GCF of 89,78,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28255392/1

Therefore the LCM of Fractions 648/89,991/78,352/737 is 28255392

Greatest Common Factor of 89,78,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,78,737 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 89,78,737 . The biggest common factor number is the GCF number.
So the greatest common factor 89,78,737 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 648/89, 991/78, 352/737

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 648/89, 991/78, 352/737?

Answer: LCM of Numerators as per given numbers 648/89, 991/78, 352/737 is

LCM of Numerators i.e. for 648,991,352 is 28255392

GCF of denominators i.e. for 89,78,737 is 1.

Thus, LCM of Fractions is 28255392.Finally, LCM of Fractions for 648/89, 991/78, 352/737 is 28255392.