Least Common Multiple of 954/678, 147/258, 441/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 954/678, 147/258, 441/347 quickly i.e. 46746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 954/678, 147/258, 441/347 is 46746.

LCM(954/678, 147/258, 441/347) = 46746

LCM of 954/678, 147/258, 441/347

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 954/678,147/258,441/347

Given numbers are 954/678,147/258,441/347

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 954,147,441

Least Common Multiple of Numerators i.e. LCM of 954,147,441 is 46746.

GCF of Denominators means GCF of 678,258,347 as per the given fractions.

GCF of 678,258,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 954,147,441

LCM of Fractions 954/678,147/258,441/347 is 46746

3 954, 147, 441
3 318, 49, 147
7 106, 49, 49
7 106, 7, 7
106, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 7 x 7 x 106 x 1 x 1 = 46746

Least Common Multiple of 954,147,441 with GCF Formula

Least Common Multiple of 954,147,441 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 954,147,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,147,441) = 3

common factors(in case of two or more numbers have common factors) = 441

GCF(954,147,441) x common factors =3 x 441 = 1323

LCM(954,147,441) = ( 954 × 147 × 441 ) / 1323

LCM(954,147,441) = 61844958 / 1323

LCM(954,147,441) = 46746


Lets's calculate GCF of 678,258,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46746/1

Therefore the LCM of Fractions 954/678,147/258,441/347 is 46746

Greatest Common Factor of 678,258,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,258,347 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 678,258,347 . The biggest common factor number is the GCF number.
So the greatest common factor 678,258,347 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 954/678, 147/258, 441/347

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 954/678, 147/258, 441/347?

Answer: LCM of Numerators as per given numbers 954/678, 147/258, 441/347 is

LCM of Numerators i.e. for 954,147,441 is 46746

GCF of denominators i.e. for 678,258,347 is 1.

Thus, LCM of Fractions is 46746.Finally, LCM of Fractions for 954/678, 147/258, 441/347 is 46746.