Least Common Multiple of 49/57, 70/687, 224/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/57, 70/687, 224/296 quickly i.e. 7840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/57, 70/687, 224/296 is 7840.

LCM(49/57, 70/687, 224/296) = 7840

LCM of 49/57, 70/687, 224/296

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 49/57,70/687,224/296

Given numbers are 49/57,70/687,224/296

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 49,70,224

Least Common Multiple of Numerators i.e. LCM of 49,70,224 is 7840.

GCF of Denominators means GCF of 57,687,296 as per the given fractions.

GCF of 57,687,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,70,224

LCM of Fractions 49/57,70/687,224/296 is 7840

2 49, 70, 224
7 49, 35, 112
7, 5, 16

∴ So the LCM of the given numbers is 2 x 7 x 7 x 5 x 16 = 7840

Least Common Multiple of 49,70,224 with GCF Formula

Least Common Multiple of 49,70,224 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 49,70,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,70,224) = 7

common factors(in case of two or more numbers have common factors) = 14

GCF(49,70,224) x common factors =7 x 14 = 98

LCM(49,70,224) = ( 49 × 70 × 224 ) / 98

LCM(49,70,224) = 768320 / 98

LCM(49,70,224) = 7840


Lets's calculate GCF of 57,687,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7840/1

Therefore the LCM of Fractions 49/57,70/687,224/296 is 7840

Greatest Common Factor of 57,687,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,687,296 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 57,687,296 . The biggest common factor number is the GCF number.
So the greatest common factor 57,687,296 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 49/57, 70/687, 224/296

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 49/57, 70/687, 224/296?

Answer: LCM of Numerators as per given numbers 49/57, 70/687, 224/296 is

LCM of Numerators i.e. for 49,70,224 is 7840

GCF of denominators i.e. for 57,687,296 is 1.

Thus, LCM of Fractions is 7840.Finally, LCM of Fractions for 49/57, 70/687, 224/296 is 7840.