Least Common Multiple of 5638/656, 1426/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5638/656, 1426/901 quickly i.e. 4019894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5638/656, 1426/901 is 4019894.

LCM(5638/656, 1426/901) = 4019894

LCM of 5638/656, 1426/901

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 5638/656,1426/901

Given numbers are 5638/656,1426/901

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 5638,1426

Least Common Multiple of Numerators i.e. LCM of 5638,1426 is 4019894.

GCF of Denominators means GCF of 656,901 as per the given fractions.

GCF of 656,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5638,1426

LCM of Fractions 5638/656,1426/901 is 4019894

2 5638, 1426
2819, 713

∴ So the LCM of the given numbers is 2 x 2819 x 713 = 4019894

Least Common Multiple of 5638,1426 with GCF Formula

Least Common Multiple of 5638,1426 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 5638,1426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5638,1426) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(5638,1426) x common factors =2 x 1 = 2

LCM(5638,1426) = ( 5638 × 1426 ) / 2

LCM(5638,1426) = 8039788 / 2

LCM(5638,1426) = 4019894


Lets's calculate GCF of 656,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4019894/1

Therefore the LCM of Fractions 5638/656,1426/901 is 4019894

Greatest Common Factor of 656,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,901 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 656,901 . The biggest common factor number is the GCF number.
So the greatest common factor 656,901 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5638/656, 1426/901

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 5638/656, 1426/901?

Answer: LCM of Numerators as per given numbers 5638/656, 1426/901 is

LCM of Numerators i.e. for 5638,1426 is 4019894

GCF of denominators i.e. for 656,901 is 1.

Thus, LCM of Fractions is 4019894.Finally, LCM of Fractions for 5638/656, 1426/901 is 4019894.