Least Common Multiple of 3741/972, 4796/5360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3741/972, 4796/5360 quickly i.e. 4485459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3741/972, 4796/5360 is 4485459.

LCM(3741/972, 4796/5360) = 4485459

LCM of 3741/972, 4796/5360

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 3741/972,4796/5360

Given numbers are 3741/972,4796/5360

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 3741,4796

Least Common Multiple of Numerators i.e. LCM of 3741,4796 is 17941836.

GCF of Denominators means GCF of 972,5360 as per the given fractions.

GCF of 972,5360 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3741,4796

LCM of Fractions 3741/972,4796/5360 is 4485459

Given numbers has no common factors except 1. So, there LCM is their product i.e 17941836

Least Common Multiple of 3741,4796 with GCF Formula

Least Common Multiple of 3741,4796 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 3741,4796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3741,4796) = 1

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

GCF(3741,4796) x common factors =1 x 1 = 1

LCM(3741,4796) = ( 3741 × 4796 ) / 1

LCM(3741,4796) = 17941836 / 1

LCM(3741,4796) = 17941836


Lets's calculate GCF of 972,5360

2 972, 5360
2 486, 2680
243, 1340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17941836/4

Therefore the LCM of Fractions 3741/972,4796/5360 is 4485459

Greatest Common Factor of 972,5360 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,5360 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 5360

List of positive integer factors of 5360 that divides 5360 without a remainder.

1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360

Greatest Common Factor

We found the factors 972,5360 . The biggest common factor number is the GCF number.
So the greatest common factor 972,5360 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 3741/972, 4796/5360

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 3741/972, 4796/5360?

Answer: LCM of Numerators as per given numbers 3741/972, 4796/5360 is

LCM of Numerators i.e. for 3741,4796 is 17941836

GCF of denominators i.e. for 972,5360 is 4.

Thus, LCM of Fractions is 4485459.Finally, LCM of Fractions for 3741/972, 4796/5360 is 4485459.