Least Common Multiple of 656/162, 559/263, 754/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 656/162, 559/263, 754/442 quickly i.e. 10634416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/162, 559/263, 754/442 is 10634416.

LCM(656/162, 559/263, 754/442) = 10634416

LCM of 656/162, 559/263, 754/442

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 656/162,559/263,754/442

Given numbers are 656/162,559/263,754/442

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 656,559,754

Least Common Multiple of Numerators i.e. LCM of 656,559,754 is 10634416.

GCF of Denominators means GCF of 162,263,442 as per the given fractions.

GCF of 162,263,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,559,754

LCM of Fractions 656/162,559/263,754/442 is 10634416

2 656, 559, 754
13 328, 559, 377
328, 43, 29

∴ So the LCM of the given numbers is 2 x 13 x 328 x 43 x 29 = 10634416

Least Common Multiple of 656,559,754 with GCF Formula

Least Common Multiple of 656,559,754 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 656,559,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,559,754) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(656,559,754) x common factors =1 x 26 = 26

LCM(656,559,754) = ( 656 × 559 × 754 ) / 26

LCM(656,559,754) = 276494816 / 26

LCM(656,559,754) = 10634416


Lets's calculate GCF of 162,263,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10634416/1

Therefore the LCM of Fractions 656/162,559/263,754/442 is 10634416

Greatest Common Factor of 162,263,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,263,442 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 162,263,442 . The biggest common factor number is the GCF number.
So the greatest common factor 162,263,442 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 656/162, 559/263, 754/442

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 656/162, 559/263, 754/442?

Answer: LCM of Numerators as per given numbers 656/162, 559/263, 754/442 is

LCM of Numerators i.e. for 656,559,754 is 10634416

GCF of denominators i.e. for 162,263,442 is 1.

Thus, LCM of Fractions is 10634416.Finally, LCM of Fractions for 656/162, 559/263, 754/442 is 10634416.