Least Common Multiple of 22/177, 56/936, 655/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/177, 56/936, 655/510 quickly i.e. 403480/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/177, 56/936, 655/510 is 403480/3.

LCM(22/177, 56/936, 655/510) = 403480/3

LCM of 22/177, 56/936, 655/510

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 22/177,56/936,655/510

Given numbers are 22/177,56/936,655/510

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 22,56,655

Least Common Multiple of Numerators i.e. LCM of 22,56,655 is 403480.

GCF of Denominators means GCF of 177,936,510 as per the given fractions.

GCF of 177,936,510 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,56,655

LCM of Fractions 22/177,56/936,655/510 is 403480/3

2 22, 56, 655
11, 28, 655

∴ So the LCM of the given numbers is 2 x 11 x 28 x 655 = 403480

Least Common Multiple of 22,56,655 with GCF Formula

Least Common Multiple of 22,56,655 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 22,56,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,56,655) = 1

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

GCF(22,56,655) x common factors =1 x 2 = 2

LCM(22,56,655) = ( 22 × 56 × 655 ) / 2

LCM(22,56,655) = 806960 / 2

LCM(22,56,655) = 403480


Lets's calculate GCF of 177,936,510

3 177, 936, 510
59, 312, 170

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403480/3

Therefore the LCM of Fractions 22/177,56/936,655/510 is 403480/3

Greatest Common Factor of 177,936,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,936,510 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

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 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 177,936,510 . The biggest common factor number is the GCF number.
So the greatest common factor 177,936,510 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/177, 56/936, 655/510

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 22/177, 56/936, 655/510?

Answer: LCM of Numerators as per given numbers 22/177, 56/936, 655/510 is

LCM of Numerators i.e. for 22,56,655 is 403480

GCF of denominators i.e. for 177,936,510 is 3.

Thus, LCM of Fractions is 403480/3.Finally, LCM of Fractions for 22/177, 56/936, 655/510 is 403480/3.