Least Common Multiple of 224/636, 7440/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/636, 7440/896 quickly i.e. 26040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/636, 7440/896 is 26040.

LCM(224/636, 7440/896) = 26040

LCM of 224/636, 7440/896

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 224/636,7440/896

Given numbers are 224/636,7440/896

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 224,7440

Least Common Multiple of Numerators i.e. LCM of 224,7440 is 104160.

GCF of Denominators means GCF of 636,896 as per the given fractions.

GCF of 636,896 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,7440

LCM of Fractions 224/636,7440/896 is 26040

2 224, 7440
2 112, 3720
2 56, 1860
2 28, 930
14, 465

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 14 x 465 = 104160

Least Common Multiple of 224,7440 with GCF Formula

Least Common Multiple of 224,7440 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 224,7440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,7440) = 16

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

GCF(224,7440) x common factors =16 x 1 = 16

LCM(224,7440) = ( 224 × 7440 ) / 16

LCM(224,7440) = 1666560 / 16

LCM(224,7440) = 104160


Lets's calculate GCF of 636,896

2 636, 896
2 318, 448
159, 224

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104160/4

Therefore the LCM of Fractions 224/636,7440/896 is 26040

Greatest Common Factor of 636,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,896 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 636,896 . The biggest common factor number is the GCF number.
So the greatest common factor 636,896 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 224/636, 7440/896

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 224/636, 7440/896?

Answer: LCM of Numerators as per given numbers 224/636, 7440/896 is

LCM of Numerators i.e. for 224,7440 is 104160

GCF of denominators i.e. for 636,896 is 4.

Thus, LCM of Fractions is 26040.Finally, LCM of Fractions for 224/636, 7440/896 is 26040.