Least Common Multiple of 7/42, 1/27, 54/84, 49/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/42, 1/27, 54/84, 49/380 quickly i.e. 2646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/42, 1/27, 54/84, 49/380 is 2646.

LCM(7/42, 1/27, 54/84, 49/380) = 2646

LCM of 7/42, 1/27, 54/84, 49/380

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 7/42,1/27,54/84,49/380

Given numbers are 7/42,1/27,54/84,49/380

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 7,1,54,49

Least Common Multiple of Numerators i.e. LCM of 7,1,54,49 is 2646.

GCF of Denominators means GCF of 42,27,84,380 as per the given fractions.

GCF of 42,27,84,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,1,54,49

LCM of Fractions 7/42,1/27,54/84,49/380 is 2646

7 7, 1, 54, 49
1, 1, 54, 7

∴ So the LCM of the given numbers is 7 x 1 x 1 x 54 x 7 = 2646

Least Common Multiple of 7,1,54,49 with GCF Formula

Least Common Multiple of 7,1,54,49 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 7,1,54,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,1,54,49) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(7,1,54,49) x common factors =1 x 7 = 7

LCM(7,1,54,49) = ( 7 × 1 × 54 × 49 ) / 7

LCM(7,1,54,49) = 18522 / 7

LCM(7,1,54,49) = 2646


Lets's calculate GCF of 42,27,84,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2646/1

Therefore the LCM of Fractions 7/42,1/27,54/84,49/380 is 2646

Greatest Common Factor of 42,27,84,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,27,84,380 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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 42,27,84,380 . The biggest common factor number is the GCF number.
So the greatest common factor 42,27,84,380 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 7/42, 1/27, 54/84, 49/380

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 7/42, 1/27, 54/84, 49/380?

Answer: LCM of Numerators as per given numbers 7/42, 1/27, 54/84, 49/380 is

LCM of Numerators i.e. for 7,1,54,49 is 2646

GCF of denominators i.e. for 42,27,84,380 is 1.

Thus, LCM of Fractions is 2646.Finally, LCM of Fractions for 7/42, 1/27, 54/84, 49/380 is 2646.