Least Common Multiple of 354/944, 1746/4678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/944, 1746/4678 quickly i.e. 51507 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/944, 1746/4678 is 51507.

LCM(354/944, 1746/4678) = 51507

LCM of 354/944, 1746/4678

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 354/944,1746/4678

Given numbers are 354/944,1746/4678

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 354,1746

Least Common Multiple of Numerators i.e. LCM of 354,1746 is 103014.

GCF of Denominators means GCF of 944,4678 as per the given fractions.

GCF of 944,4678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,1746

LCM of Fractions 354/944,1746/4678 is 51507

2 354, 1746
3 177, 873
59, 291

∴ So the LCM of the given numbers is 2 x 3 x 59 x 291 = 103014

Least Common Multiple of 354,1746 with GCF Formula

Least Common Multiple of 354,1746 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 354,1746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,1746) = 6

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

GCF(354,1746) x common factors =6 x 1 = 6

LCM(354,1746) = ( 354 × 1746 ) / 6

LCM(354,1746) = 618084 / 6

LCM(354,1746) = 103014


Lets's calculate GCF of 944,4678

2 944, 4678
472, 2339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103014/2

Therefore the LCM of Fractions 354/944,1746/4678 is 51507

Greatest Common Factor of 944,4678 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,4678 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1,2,2339,4678

Greatest Common Factor

We found the factors 944,4678 . The biggest common factor number is the GCF number.
So the greatest common factor 944,4678 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 354/944, 1746/4678

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 354/944, 1746/4678?

Answer: LCM of Numerators as per given numbers 354/944, 1746/4678 is

LCM of Numerators i.e. for 354,1746 is 103014

GCF of denominators i.e. for 944,4678 is 2.

Thus, LCM of Fractions is 51507.Finally, LCM of Fractions for 354/944, 1746/4678 is 51507.