Least Common Multiple of 10/13, 37/42, 871/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/13, 37/42, 871/304 quickly i.e. 322270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/13, 37/42, 871/304 is 322270.

LCM(10/13, 37/42, 871/304) = 322270

LCM of 10/13, 37/42, 871/304

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 10/13,37/42,871/304

Given numbers are 10/13,37/42,871/304

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 10,37,871

Least Common Multiple of Numerators i.e. LCM of 10,37,871 is 322270.

GCF of Denominators means GCF of 13,42,304 as per the given fractions.

GCF of 13,42,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,37,871

LCM of Fractions 10/13,37/42,871/304 is 322270

Given numbers has no common factors except 1. So, there LCM is their product i.e 322270

Least Common Multiple of 10,37,871 with GCF Formula

Least Common Multiple of 10,37,871 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 10,37,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,37,871) = 1

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

GCF(10,37,871) x common factors =1 x 1 = 1

LCM(10,37,871) = ( 10 × 37 × 871 ) / 1

LCM(10,37,871) = 322270 / 1

LCM(10,37,871) = 322270


Lets's calculate GCF of 13,42,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322270/1

Therefore the LCM of Fractions 10/13,37/42,871/304 is 322270

Greatest Common Factor of 13,42,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,42,304 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 13,42,304 . The biggest common factor number is the GCF number.
So the greatest common factor 13,42,304 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 10/13, 37/42, 871/304

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 10/13, 37/42, 871/304?

Answer: LCM of Numerators as per given numbers 10/13, 37/42, 871/304 is

LCM of Numerators i.e. for 10,37,871 is 322270

GCF of denominators i.e. for 13,42,304 is 1.

Thus, LCM of Fractions is 322270.Finally, LCM of Fractions for 10/13, 37/42, 871/304 is 322270.