Least Common Multiple of 3960/899, 5041/6748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3960/899, 5041/6748 quickly i.e. 19962360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3960/899, 5041/6748 is 19962360.

LCM(3960/899, 5041/6748) = 19962360

LCM of 3960/899, 5041/6748

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 3960/899,5041/6748

Given numbers are 3960/899,5041/6748

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 3960,5041

Least Common Multiple of Numerators i.e. LCM of 3960,5041 is 19962360.

GCF of Denominators means GCF of 899,6748 as per the given fractions.

GCF of 899,6748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3960,5041

LCM of Fractions 3960/899,5041/6748 is 19962360

Given numbers has no common factors except 1. So, there LCM is their product i.e 19962360

Least Common Multiple of 3960,5041 with GCF Formula

Least Common Multiple of 3960,5041 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 3960,5041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3960,5041) = 1

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

GCF(3960,5041) x common factors =1 x 1 = 1

LCM(3960,5041) = ( 3960 × 5041 ) / 1

LCM(3960,5041) = 19962360 / 1

LCM(3960,5041) = 19962360


Lets's calculate GCF of 899,6748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19962360/1

Therefore the LCM of Fractions 3960/899,5041/6748 is 19962360

Greatest Common Factor of 899,6748 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,6748 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 6748

List of positive integer factors of 6748 that divides 6748 without a remainder.

1,2,4,7,14,28,241,482,964,1687,3374,6748

Greatest Common Factor

We found the factors 899,6748 . The biggest common factor number is the GCF number.
So the greatest common factor 899,6748 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3960/899, 5041/6748

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 3960/899, 5041/6748?

Answer: LCM of Numerators as per given numbers 3960/899, 5041/6748 is

LCM of Numerators i.e. for 3960,5041 is 19962360

GCF of denominators i.e. for 899,6748 is 1.

Thus, LCM of Fractions is 19962360.Finally, LCM of Fractions for 3960/899, 5041/6748 is 19962360.