Least Common Multiple of 3714/916, 2844/4117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3714/916, 2844/4117 quickly i.e. 1760436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3714/916, 2844/4117 is 1760436.

LCM(3714/916, 2844/4117) = 1760436

LCM of 3714/916, 2844/4117

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 3714/916,2844/4117

Given numbers are 3714/916,2844/4117

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 3714,2844

Least Common Multiple of Numerators i.e. LCM of 3714,2844 is 1760436.

GCF of Denominators means GCF of 916,4117 as per the given fractions.

GCF of 916,4117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3714,2844

LCM of Fractions 3714/916,2844/4117 is 1760436

2 3714, 2844
3 1857, 1422
619, 474

∴ So the LCM of the given numbers is 2 x 3 x 619 x 474 = 1760436

Least Common Multiple of 3714,2844 with GCF Formula

Least Common Multiple of 3714,2844 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 3714,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3714,2844) = 6

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

GCF(3714,2844) x common factors =6 x 1 = 6

LCM(3714,2844) = ( 3714 × 2844 ) / 6

LCM(3714,2844) = 10562616 / 6

LCM(3714,2844) = 1760436


Lets's calculate GCF of 916,4117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1760436/1

Therefore the LCM of Fractions 3714/916,2844/4117 is 1760436

Greatest Common Factor of 916,4117 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,4117 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 4117

List of positive integer factors of 4117 that divides 4117 without a remainder.

1,23,179,4117

Greatest Common Factor

We found the factors 916,4117 . The biggest common factor number is the GCF number.
So the greatest common factor 916,4117 is 1.


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 3714/916, 2844/4117

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 3714/916, 2844/4117?

Answer: LCM of Numerators as per given numbers 3714/916, 2844/4117 is

LCM of Numerators i.e. for 3714,2844 is 1760436

GCF of denominators i.e. for 916,4117 is 1.

Thus, LCM of Fractions is 1760436.Finally, LCM of Fractions for 3714/916, 2844/4117 is 1760436.