Least Common Multiple of 94/484, 72/260, 755/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/484, 72/260, 755/268 quickly i.e. 638730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/484, 72/260, 755/268 is 638730.

LCM(94/484, 72/260, 755/268) = 638730

LCM of 94/484, 72/260, 755/268

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 94/484,72/260,755/268

Given numbers are 94/484,72/260,755/268

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 94,72,755

Least Common Multiple of Numerators i.e. LCM of 94,72,755 is 2554920.

GCF of Denominators means GCF of 484,260,268 as per the given fractions.

GCF of 484,260,268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,72,755

LCM of Fractions 94/484,72/260,755/268 is 638730

2 94, 72, 755
47, 36, 755

∴ So the LCM of the given numbers is 2 x 47 x 36 x 755 = 2554920

Least Common Multiple of 94,72,755 with GCF Formula

Least Common Multiple of 94,72,755 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 94,72,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,72,755) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,72,755) x common factors =1 x 2 = 2

LCM(94,72,755) = ( 94 × 72 × 755 ) / 2

LCM(94,72,755) = 5109840 / 2

LCM(94,72,755) = 2554920


Lets's calculate GCF of 484,260,268

2 484, 260, 268
2 242, 130, 134
121, 65, 67

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2554920/4

Therefore the LCM of Fractions 94/484,72/260,755/268 is 638730

Greatest Common Factor of 484,260,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,260,268 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 484,260,268 . The biggest common factor number is the GCF number.
So the greatest common factor 484,260,268 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/484, 72/260, 755/268

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 94/484, 72/260, 755/268?

Answer: LCM of Numerators as per given numbers 94/484, 72/260, 755/268 is

LCM of Numerators i.e. for 94,72,755 is 2554920

GCF of denominators i.e. for 484,260,268 is 4.

Thus, LCM of Fractions is 638730.Finally, LCM of Fractions for 94/484, 72/260, 755/268 is 638730.