Least Common Multiple of 381/42, 921/1688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/42, 921/1688 quickly i.e. 116967/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/42, 921/1688 is 116967/2.

LCM(381/42, 921/1688) = 116967/2

LCM of 381/42, 921/1688

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 381/42,921/1688

Given numbers are 381/42,921/1688

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 381,921

Least Common Multiple of Numerators i.e. LCM of 381,921 is 116967.

GCF of Denominators means GCF of 42,1688 as per the given fractions.

GCF of 42,1688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,921

LCM of Fractions 381/42,921/1688 is 116967/2

3 381, 921
127, 307

∴ So the LCM of the given numbers is 3 x 127 x 307 = 116967

Least Common Multiple of 381,921 with GCF Formula

Least Common Multiple of 381,921 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 381,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,921) = 3

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

GCF(381,921) x common factors =3 x 1 = 3

LCM(381,921) = ( 381 × 921 ) / 3

LCM(381,921) = 350901 / 3

LCM(381,921) = 116967


Lets's calculate GCF of 42,1688

2 42, 1688
21, 844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116967/2

Therefore the LCM of Fractions 381/42,921/1688 is 116967/2

Greatest Common Factor of 42,1688 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,1688 By Matching Biggest Common Factor Method

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 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1,2,4,8,211,422,844,1688

Greatest Common Factor

We found the factors 42,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 42,1688 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 381/42, 921/1688

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 381/42, 921/1688?

Answer: LCM of Numerators as per given numbers 381/42, 921/1688 is

LCM of Numerators i.e. for 381,921 is 116967

GCF of denominators i.e. for 42,1688 is 2.

Thus, LCM of Fractions is 116967/2.Finally, LCM of Fractions for 381/42, 921/1688 is 116967/2.