Least Common Multiple of 49/716, 6755/1744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/716, 6755/1744 quickly i.e. 47285/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/716, 6755/1744 is 47285/4.

LCM(49/716, 6755/1744) = 47285/4

LCM of 49/716, 6755/1744

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 49/716,6755/1744

Given numbers are 49/716,6755/1744

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 49,6755

Least Common Multiple of Numerators i.e. LCM of 49,6755 is 47285.

GCF of Denominators means GCF of 716,1744 as per the given fractions.

GCF of 716,1744 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,6755

LCM of Fractions 49/716,6755/1744 is 47285/4

7 49, 6755
7, 965

∴ So the LCM of the given numbers is 7 x 7 x 965 = 47285

Least Common Multiple of 49,6755 with GCF Formula

Least Common Multiple of 49,6755 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 49,6755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,6755) = 7

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

GCF(49,6755) x common factors =7 x 1 = 7

LCM(49,6755) = ( 49 × 6755 ) / 7

LCM(49,6755) = 330995 / 7

LCM(49,6755) = 47285


Lets's calculate GCF of 716,1744

2 716, 1744
2 358, 872
179, 436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47285/4

Therefore the LCM of Fractions 49/716,6755/1744 is 47285/4

Greatest Common Factor of 716,1744 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,1744 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1,2,4,8,16,109,218,436,872,1744

Greatest Common Factor

We found the factors 716,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 716,1744 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 49/716, 6755/1744

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 49/716, 6755/1744?

Answer: LCM of Numerators as per given numbers 49/716, 6755/1744 is

LCM of Numerators i.e. for 49,6755 is 47285

GCF of denominators i.e. for 716,1744 is 4.

Thus, LCM of Fractions is 47285/4.Finally, LCM of Fractions for 49/716, 6755/1744 is 47285/4.