Least Common Multiple of 4707/896, 7724/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4707/896, 7724/224 quickly i.e. 36356868/224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4707/896, 7724/224 is 36356868/224.

LCM(4707/896, 7724/224) = 36356868/224

LCM of 4707/896, 7724/224

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 4707/896,7724/224

Given numbers are 4707/896,7724/224

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 4707,7724

Least Common Multiple of Numerators i.e. LCM of 4707,7724 is 36356868.

GCF of Denominators means GCF of 896,224 as per the given fractions.

GCF of 896,224 is 224 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4707,7724

LCM of Fractions 4707/896,7724/224 is 36356868/224

Given numbers has no common factors except 1. So, there LCM is their product i.e 36356868

Least Common Multiple of 4707,7724 with GCF Formula

Least Common Multiple of 4707,7724 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 4707,7724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4707,7724) = 1

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

GCF(4707,7724) x common factors =1 x 1 = 1

LCM(4707,7724) = ( 4707 × 7724 ) / 1

LCM(4707,7724) = 36356868 / 1

LCM(4707,7724) = 36356868


Lets's calculate GCF of 896,224

2 896, 224
2 448, 112
2 224, 56
2 112, 28
2 56, 14
7 28, 7
4, 1

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 = 224

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36356868/224

Therefore the LCM of Fractions 4707/896,7724/224 is 36356868/224

Greatest Common Factor of 896,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,224 By Matching Biggest Common Factor Method

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

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 896,224 . The biggest common factor number is the GCF number.
So the greatest common factor 896,224 is 224.


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 4707/896, 7724/224

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 4707/896, 7724/224?

Answer: LCM of Numerators as per given numbers 4707/896, 7724/224 is

LCM of Numerators i.e. for 4707,7724 is 36356868

GCF of denominators i.e. for 896,224 is 224.

Thus, LCM of Fractions is 36356868/224.Finally, LCM of Fractions for 4707/896, 7724/224 is 36356868/224.