Least Common Multiple of 360/938, 584/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/938, 584/342 quickly i.e. 13140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/938, 584/342 is 13140.

LCM(360/938, 584/342) = 13140

LCM of 360/938, 584/342

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 360/938,584/342

Given numbers are 360/938,584/342

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 360,584

Least Common Multiple of Numerators i.e. LCM of 360,584 is 26280.

GCF of Denominators means GCF of 938,342 as per the given fractions.

GCF of 938,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,584

LCM of Fractions 360/938,584/342 is 13140

2 360, 584
2 180, 292
2 90, 146
45, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 45 x 73 = 26280

Least Common Multiple of 360,584 with GCF Formula

Least Common Multiple of 360,584 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 360,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,584) = 8

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

GCF(360,584) x common factors =8 x 1 = 8

LCM(360,584) = ( 360 × 584 ) / 8

LCM(360,584) = 210240 / 8

LCM(360,584) = 26280


Lets's calculate GCF of 938,342

2 938, 342
469, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26280/2

Therefore the LCM of Fractions 360/938,584/342 is 13140

Greatest Common Factor of 938,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,342 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 938,342 . The biggest common factor number is the GCF number.
So the greatest common factor 938,342 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 360/938, 584/342

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 360/938, 584/342?

Answer: LCM of Numerators as per given numbers 360/938, 584/342 is

LCM of Numerators i.e. for 360,584 is 26280

GCF of denominators i.e. for 938,342 is 2.

Thus, LCM of Fractions is 13140.Finally, LCM of Fractions for 360/938, 584/342 is 13140.