Least Common Multiple of 378/676, 5461/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/676, 5461/618 quickly i.e. 1032129 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/676, 5461/618 is 1032129.

LCM(378/676, 5461/618) = 1032129

LCM of 378/676, 5461/618

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 378/676,5461/618

Given numbers are 378/676,5461/618

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 378,5461

Least Common Multiple of Numerators i.e. LCM of 378,5461 is 2064258.

GCF of Denominators means GCF of 676,618 as per the given fractions.

GCF of 676,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,5461

LCM of Fractions 378/676,5461/618 is 1032129

Given numbers has no common factors except 1. So, there LCM is their product i.e 2064258

Least Common Multiple of 378,5461 with GCF Formula

Least Common Multiple of 378,5461 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 378,5461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,5461) = 1

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

GCF(378,5461) x common factors =1 x 1 = 1

LCM(378,5461) = ( 378 × 5461 ) / 1

LCM(378,5461) = 2064258 / 1

LCM(378,5461) = 2064258


Lets's calculate GCF of 676,618

2 676, 618
338, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2064258/2

Therefore the LCM of Fractions 378/676,5461/618 is 1032129

Greatest Common Factor of 676,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,618 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 676,618 . The biggest common factor number is the GCF number.
So the greatest common factor 676,618 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 378/676, 5461/618

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 378/676, 5461/618?

Answer: LCM of Numerators as per given numbers 378/676, 5461/618 is

LCM of Numerators i.e. for 378,5461 is 2064258

GCF of denominators i.e. for 676,618 is 2.

Thus, LCM of Fractions is 1032129.Finally, LCM of Fractions for 378/676, 5461/618 is 1032129.