Least Common Multiple of 5665/991, 2344/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5665/991, 2344/870 quickly i.e. 13278760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5665/991, 2344/870 is 13278760.

LCM(5665/991, 2344/870) = 13278760

LCM of 5665/991, 2344/870

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 5665/991,2344/870

Given numbers are 5665/991,2344/870

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 5665,2344

Least Common Multiple of Numerators i.e. LCM of 5665,2344 is 13278760.

GCF of Denominators means GCF of 991,870 as per the given fractions.

GCF of 991,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5665,2344

LCM of Fractions 5665/991,2344/870 is 13278760

Given numbers has no common factors except 1. So, there LCM is their product i.e 13278760

Least Common Multiple of 5665,2344 with GCF Formula

Least Common Multiple of 5665,2344 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 5665,2344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5665,2344) = 1

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

GCF(5665,2344) x common factors =1 x 1 = 1

LCM(5665,2344) = ( 5665 × 2344 ) / 1

LCM(5665,2344) = 13278760 / 1

LCM(5665,2344) = 13278760


Lets's calculate GCF of 991,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13278760/1

Therefore the LCM of Fractions 5665/991,2344/870 is 13278760

Greatest Common Factor of 991,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,870 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 991,870 . The biggest common factor number is the GCF number.
So the greatest common factor 991,870 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5665/991, 2344/870

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 5665/991, 2344/870?

Answer: LCM of Numerators as per given numbers 5665/991, 2344/870 is

LCM of Numerators i.e. for 5665,2344 is 13278760

GCF of denominators i.e. for 991,870 is 1.

Thus, LCM of Fractions is 13278760.Finally, LCM of Fractions for 5665/991, 2344/870 is 13278760.