Least Common Multiple of 49/713, 524/232, 224/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/713, 524/232, 224/294 quickly i.e. 205408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/713, 524/232, 224/294 is 205408.

LCM(49/713, 524/232, 224/294) = 205408

LCM of 49/713, 524/232, 224/294

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 49/713,524/232,224/294

Given numbers are 49/713,524/232,224/294

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 49,524,224

Least Common Multiple of Numerators i.e. LCM of 49,524,224 is 205408.

GCF of Denominators means GCF of 713,232,294 as per the given fractions.

GCF of 713,232,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,524,224

LCM of Fractions 49/713,524/232,224/294 is 205408

2 49, 524, 224
2 49, 262, 112
7 49, 131, 56
7, 131, 8

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 131 x 8 = 205408

Least Common Multiple of 49,524,224 with GCF Formula

Least Common Multiple of 49,524,224 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 49,524,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,524,224) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(49,524,224) x common factors =1 x 28 = 28

LCM(49,524,224) = ( 49 × 524 × 224 ) / 28

LCM(49,524,224) = 5751424 / 28

LCM(49,524,224) = 205408


Lets's calculate GCF of 713,232,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205408/1

Therefore the LCM of Fractions 49/713,524/232,224/294 is 205408

Greatest Common Factor of 713,232,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,232,294 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 713,232,294 . The biggest common factor number is the GCF number.
So the greatest common factor 713,232,294 is 1.


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 49/713, 524/232, 224/294

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 49/713, 524/232, 224/294?

Answer: LCM of Numerators as per given numbers 49/713, 524/232, 224/294 is

LCM of Numerators i.e. for 49,524,224 is 205408

GCF of denominators i.e. for 713,232,294 is 1.

Thus, LCM of Fractions is 205408.Finally, LCM of Fractions for 49/713, 524/232, 224/294 is 205408.