Least Common Multiple of 412/374, 6878/9954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/374, 6878/9954 quickly i.e. 708434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/374, 6878/9954 is 708434.

LCM(412/374, 6878/9954) = 708434

LCM of 412/374, 6878/9954

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 412/374,6878/9954

Given numbers are 412/374,6878/9954

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 412,6878

Least Common Multiple of Numerators i.e. LCM of 412,6878 is 1416868.

GCF of Denominators means GCF of 374,9954 as per the given fractions.

GCF of 374,9954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,6878

LCM of Fractions 412/374,6878/9954 is 708434

2 412, 6878
206, 3439

∴ So the LCM of the given numbers is 2 x 206 x 3439 = 1416868

Least Common Multiple of 412,6878 with GCF Formula

Least Common Multiple of 412,6878 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 412,6878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,6878) = 2

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

GCF(412,6878) x common factors =2 x 1 = 2

LCM(412,6878) = ( 412 × 6878 ) / 2

LCM(412,6878) = 2833736 / 2

LCM(412,6878) = 1416868


Lets's calculate GCF of 374,9954

2 374, 9954
187, 4977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1416868/2

Therefore the LCM of Fractions 412/374,6878/9954 is 708434

Greatest Common Factor of 374,9954 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,9954 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 9954

List of positive integer factors of 9954 that divides 9954 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954

Greatest Common Factor

We found the factors 374,9954 . The biggest common factor number is the GCF number.
So the greatest common factor 374,9954 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 412/374, 6878/9954

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 412/374, 6878/9954?

Answer: LCM of Numerators as per given numbers 412/374, 6878/9954 is

LCM of Numerators i.e. for 412,6878 is 1416868

GCF of denominators i.e. for 374,9954 is 2.

Thus, LCM of Fractions is 708434.Finally, LCM of Fractions for 412/374, 6878/9954 is 708434.