Least Common Multiple of 1/39, 9/56, 1/42, 23/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/39, 9/56, 1/42, 23/380 quickly i.e. 207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/39, 9/56, 1/42, 23/380 is 207.

LCM(1/39, 9/56, 1/42, 23/380) = 207

LCM of 1/39, 9/56, 1/42, 23/380

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 1/39,9/56,1/42,23/380

Given numbers are 1/39,9/56,1/42,23/380

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 1,9,1,23

Least Common Multiple of Numerators i.e. LCM of 1,9,1,23 is 207.

GCF of Denominators means GCF of 39,56,42,380 as per the given fractions.

GCF of 39,56,42,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,9,1,23

LCM of Fractions 1/39,9/56,1/42,23/380 is 207

Given numbers has no common factors except 1. So, there LCM is their product i.e 207

Least Common Multiple of 1,9,1,23 with GCF Formula

Least Common Multiple of 1,9,1,23 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 1,9,1,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,9,1,23) = 1

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

GCF(1,9,1,23) x common factors =1 x 1 = 1

LCM(1,9,1,23) = ( 1 × 9 × 1 × 23 ) / 1

LCM(1,9,1,23) = 207 / 1

LCM(1,9,1,23) = 207


Lets's calculate GCF of 39,56,42,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207/1

Therefore the LCM of Fractions 1/39,9/56,1/42,23/380 is 207

Greatest Common Factor of 39,56,42,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,56,42,380 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

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 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 39,56,42,380 . The biggest common factor number is the GCF number.
So the greatest common factor 39,56,42,380 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 1/39, 9/56, 1/42, 23/380

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 1/39, 9/56, 1/42, 23/380?

Answer: LCM of Numerators as per given numbers 1/39, 9/56, 1/42, 23/380 is

LCM of Numerators i.e. for 1,9,1,23 is 207

GCF of denominators i.e. for 39,56,42,380 is 1.

Thus, LCM of Fractions is 207.Finally, LCM of Fractions for 1/39, 9/56, 1/42, 23/380 is 207.