Least Common Multiple of 6/94, 9/80, 73/65, 88/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6/94, 9/80, 73/65, 88/461 quickly i.e. 57816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/94, 9/80, 73/65, 88/461 is 57816.

LCM(6/94, 9/80, 73/65, 88/461) = 57816

LCM of 6/94, 9/80, 73/65, 88/461

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 6/94,9/80,73/65,88/461

Given numbers are 6/94,9/80,73/65,88/461

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 6,9,73,88

Least Common Multiple of Numerators i.e. LCM of 6,9,73,88 is 57816.

GCF of Denominators means GCF of 94,80,65,461 as per the given fractions.

GCF of 94,80,65,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,9,73,88

LCM of Fractions 6/94,9/80,73/65,88/461 is 57816

2 6, 9, 73, 88
3 3, 9, 73, 44
1, 3, 73, 44

∴ So the LCM of the given numbers is 2 x 3 x 1 x 3 x 73 x 44 = 57816

Least Common Multiple of 6,9,73,88 with GCF Formula

Least Common Multiple of 6,9,73,88 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 6,9,73,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,9,73,88) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(6,9,73,88) x common factors =1 x 6 = 6

LCM(6,9,73,88) = ( 6 × 9 × 73 × 88 ) / 6

LCM(6,9,73,88) = 346896 / 6

LCM(6,9,73,88) = 57816


Lets's calculate GCF of 94,80,65,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57816/1

Therefore the LCM of Fractions 6/94,9/80,73/65,88/461 is 57816

Greatest Common Factor of 94,80,65,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,80,65,461 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 94,80,65,461 . The biggest common factor number is the GCF number.
So the greatest common factor 94,80,65,461 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6/94, 9/80, 73/65, 88/461

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 6/94, 9/80, 73/65, 88/461?

Answer: LCM of Numerators as per given numbers 6/94, 9/80, 73/65, 88/461 is

LCM of Numerators i.e. for 6,9,73,88 is 57816

GCF of denominators i.e. for 94,80,65,461 is 1.

Thus, LCM of Fractions is 57816.Finally, LCM of Fractions for 6/94, 9/80, 73/65, 88/461 is 57816.