Least Common Multiple of 13/385, 1937/4374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/385, 1937/4374 quickly i.e. 1937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/385, 1937/4374 is 1937.

LCM(13/385, 1937/4374) = 1937

LCM of 13/385, 1937/4374

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 13/385,1937/4374

Given numbers are 13/385,1937/4374

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 13,1937

Least Common Multiple of Numerators i.e. LCM of 13,1937 is 1937.

GCF of Denominators means GCF of 385,4374 as per the given fractions.

GCF of 385,4374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,1937

LCM of Fractions 13/385,1937/4374 is 1937

13 13, 1937
1, 149

∴ So the LCM of the given numbers is 13 x 1 x 149 = 1937

Least Common Multiple of 13,1937 with GCF Formula

Least Common Multiple of 13,1937 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 13,1937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,1937) = 13

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

GCF(13,1937) x common factors =13 x 1 = 13

LCM(13,1937) = ( 13 × 1937 ) / 13

LCM(13,1937) = 25181 / 13

LCM(13,1937) = 1937


Lets's calculate GCF of 385,4374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1937/1

Therefore the LCM of Fractions 13/385,1937/4374 is 1937

Greatest Common Factor of 385,4374 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,4374 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

Greatest Common Factor

We found the factors 385,4374 . The biggest common factor number is the GCF number.
So the greatest common factor 385,4374 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/385, 1937/4374

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 13/385, 1937/4374?

Answer: LCM of Numerators as per given numbers 13/385, 1937/4374 is

LCM of Numerators i.e. for 13,1937 is 1937

GCF of denominators i.e. for 385,4374 is 1.

Thus, LCM of Fractions is 1937.Finally, LCM of Fractions for 13/385, 1937/4374 is 1937.