Least Common Multiple of 536/371, 3536/8904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 536/371, 3536/8904 quickly i.e. 236912/371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/371, 3536/8904 is 236912/371.

LCM(536/371, 3536/8904) = 236912/371

LCM of 536/371, 3536/8904

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 536/371,3536/8904

Given numbers are 536/371,3536/8904

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 536,3536

Least Common Multiple of Numerators i.e. LCM of 536,3536 is 236912.

GCF of Denominators means GCF of 371,8904 as per the given fractions.

GCF of 371,8904 is 371 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,3536

LCM of Fractions 536/371,3536/8904 is 236912/371

2 536, 3536
2 268, 1768
2 134, 884
67, 442

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 442 = 236912

Least Common Multiple of 536,3536 with GCF Formula

Least Common Multiple of 536,3536 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 536,3536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,3536) = 8

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

GCF(536,3536) x common factors =8 x 1 = 8

LCM(536,3536) = ( 536 × 3536 ) / 8

LCM(536,3536) = 1895296 / 8

LCM(536,3536) = 236912


Lets's calculate GCF of 371,8904

7 371, 8904
53 53, 1272
1, 24

∴ So the GCF of the given numbers is 7 x 53 = 371

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236912/371

Therefore the LCM of Fractions 536/371,3536/8904 is 236912/371

Greatest Common Factor of 371,8904 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,8904 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904

Greatest Common Factor

We found the factors 371,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 371,8904 is 371.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 536/371, 3536/8904

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 536/371, 3536/8904?

Answer: LCM of Numerators as per given numbers 536/371, 3536/8904 is

LCM of Numerators i.e. for 536,3536 is 236912

GCF of denominators i.e. for 371,8904 is 371.

Thus, LCM of Fractions is 236912/371.Finally, LCM of Fractions for 536/371, 3536/8904 is 236912/371.