Least Common Multiple of 28/262, 164/936, 621/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/262, 164/936, 621/272 quickly i.e. 356454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/262, 164/936, 621/272 is 356454.

LCM(28/262, 164/936, 621/272) = 356454

LCM of 28/262, 164/936, 621/272

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 28/262,164/936,621/272

Given numbers are 28/262,164/936,621/272

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 28,164,621

Least Common Multiple of Numerators i.e. LCM of 28,164,621 is 712908.

GCF of Denominators means GCF of 262,936,272 as per the given fractions.

GCF of 262,936,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,164,621

LCM of Fractions 28/262,164/936,621/272 is 356454

2 28, 164, 621
2 14, 82, 621
7, 41, 621

∴ So the LCM of the given numbers is 2 x 2 x 7 x 41 x 621 = 712908

Least Common Multiple of 28,164,621 with GCF Formula

Least Common Multiple of 28,164,621 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 28,164,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,164,621) = 1

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

GCF(28,164,621) x common factors =1 x 4 = 4

LCM(28,164,621) = ( 28 × 164 × 621 ) / 4

LCM(28,164,621) = 2851632 / 4

LCM(28,164,621) = 712908


Lets's calculate GCF of 262,936,272

2 262, 936, 272
131, 468, 136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712908/2

Therefore the LCM of Fractions 28/262,164/936,621/272 is 356454

Greatest Common Factor of 262,936,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,936,272 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 262,936,272 . The biggest common factor number is the GCF number.
So the greatest common factor 262,936,272 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/262, 164/936, 621/272

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 28/262, 164/936, 621/272?

Answer: LCM of Numerators as per given numbers 28/262, 164/936, 621/272 is

LCM of Numerators i.e. for 28,164,621 is 712908

GCF of denominators i.e. for 262,936,272 is 2.

Thus, LCM of Fractions is 356454.Finally, LCM of Fractions for 28/262, 164/936, 621/272 is 356454.