Least Common Multiple of 56/752, 4901/3452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/752, 4901/3452 quickly i.e. 68614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/752, 4901/3452 is 68614.

LCM(56/752, 4901/3452) = 68614

LCM of 56/752, 4901/3452

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 56/752,4901/3452

Given numbers are 56/752,4901/3452

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 56,4901

Least Common Multiple of Numerators i.e. LCM of 56,4901 is 274456.

GCF of Denominators means GCF of 752,3452 as per the given fractions.

GCF of 752,3452 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,4901

LCM of Fractions 56/752,4901/3452 is 68614

Given numbers has no common factors except 1. So, there LCM is their product i.e 274456

Least Common Multiple of 56,4901 with GCF Formula

Least Common Multiple of 56,4901 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 56,4901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,4901) = 1

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

GCF(56,4901) x common factors =1 x 1 = 1

LCM(56,4901) = ( 56 × 4901 ) / 1

LCM(56,4901) = 274456 / 1

LCM(56,4901) = 274456


Lets's calculate GCF of 752,3452

2 752, 3452
2 376, 1726
188, 863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274456/4

Therefore the LCM of Fractions 56/752,4901/3452 is 68614

Greatest Common Factor of 752,3452 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,3452 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 3452

List of positive integer factors of 3452 that divides 3452 without a remainder.

1,2,4,863,1726,3452

Greatest Common Factor

We found the factors 752,3452 . The biggest common factor number is the GCF number.
So the greatest common factor 752,3452 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 56/752, 4901/3452

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 56/752, 4901/3452?

Answer: LCM of Numerators as per given numbers 56/752, 4901/3452 is

LCM of Numerators i.e. for 56,4901 is 274456

GCF of denominators i.e. for 752,3452 is 4.

Thus, LCM of Fractions is 68614.Finally, LCM of Fractions for 56/752, 4901/3452 is 68614.