Least Common Multiple of 6978/846, 3102/3758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6978/846, 3102/3758 quickly i.e. 1803813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6978/846, 3102/3758 is 1803813.

LCM(6978/846, 3102/3758) = 1803813

LCM of 6978/846, 3102/3758

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 6978/846,3102/3758

Given numbers are 6978/846,3102/3758

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 6978,3102

Least Common Multiple of Numerators i.e. LCM of 6978,3102 is 3607626.

GCF of Denominators means GCF of 846,3758 as per the given fractions.

GCF of 846,3758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6978,3102

LCM of Fractions 6978/846,3102/3758 is 1803813

2 6978, 3102
3 3489, 1551
1163, 517

∴ So the LCM of the given numbers is 2 x 3 x 1163 x 517 = 3607626

Least Common Multiple of 6978,3102 with GCF Formula

Least Common Multiple of 6978,3102 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 6978,3102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6978,3102) = 6

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

GCF(6978,3102) x common factors =6 x 1 = 6

LCM(6978,3102) = ( 6978 × 3102 ) / 6

LCM(6978,3102) = 21645756 / 6

LCM(6978,3102) = 3607626


Lets's calculate GCF of 846,3758

2 846, 3758
423, 1879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3607626/2

Therefore the LCM of Fractions 6978/846,3102/3758 is 1803813

Greatest Common Factor of 846,3758 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,3758 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 3758

List of positive integer factors of 3758 that divides 3758 without a remainder.

1,2,1879,3758

Greatest Common Factor

We found the factors 846,3758 . The biggest common factor number is the GCF number.
So the greatest common factor 846,3758 is 2.


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 6978/846, 3102/3758

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 6978/846, 3102/3758?

Answer: LCM of Numerators as per given numbers 6978/846, 3102/3758 is

LCM of Numerators i.e. for 6978,3102 is 3607626

GCF of denominators i.e. for 846,3758 is 2.

Thus, LCM of Fractions is 1803813.Finally, LCM of Fractions for 6978/846, 3102/3758 is 1803813.