Least Common Multiple of 1354/43, 9366/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1354/43, 9366/120 quickly i.e. 6340782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1354/43, 9366/120 is 6340782.

LCM(1354/43, 9366/120) = 6340782

LCM of 1354/43, 9366/120

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 1354/43,9366/120

Given numbers are 1354/43,9366/120

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 1354,9366

Least Common Multiple of Numerators i.e. LCM of 1354,9366 is 6340782.

GCF of Denominators means GCF of 43,120 as per the given fractions.

GCF of 43,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1354,9366

LCM of Fractions 1354/43,9366/120 is 6340782

2 1354, 9366
677, 4683

∴ So the LCM of the given numbers is 2 x 677 x 4683 = 6340782

Least Common Multiple of 1354,9366 with GCF Formula

Least Common Multiple of 1354,9366 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 1354,9366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1354,9366) = 2

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

GCF(1354,9366) x common factors =2 x 1 = 2

LCM(1354,9366) = ( 1354 × 9366 ) / 2

LCM(1354,9366) = 12681564 / 2

LCM(1354,9366) = 6340782


Lets's calculate GCF of 43,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6340782/1

Therefore the LCM of Fractions 1354/43,9366/120 is 6340782

Greatest Common Factor of 43,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,120 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 43,120 . The biggest common factor number is the GCF number.
So the greatest common factor 43,120 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1354/43, 9366/120

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 1354/43, 9366/120?

Answer: LCM of Numerators as per given numbers 1354/43, 9366/120 is

LCM of Numerators i.e. for 1354,9366 is 6340782

GCF of denominators i.e. for 43,120 is 1.

Thus, LCM of Fractions is 6340782.Finally, LCM of Fractions for 1354/43, 9366/120 is 6340782.