Least Common Multiple of 7/42, 9/28, 71/49, 40/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/42, 9/28, 71/49, 40/978 quickly i.e. 178920 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, 9/28, 71/49, 40/978 is 178920.

LCM(7/42, 9/28, 71/49, 40/978) = 178920

LCM of 7/42, 9/28, 71/49, 40/978

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 7/42,9/28,71/49,40/978

Given numbers are 7/42,9/28,71/49,40/978

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 7,9,71,40

Least Common Multiple of Numerators i.e. LCM of 7,9,71,40 is 178920.

GCF of Denominators means GCF of 42,28,49,978 as per the given fractions.

GCF of 42,28,49,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,9,71,40

LCM of Fractions 7/42,9/28,71/49,40/978 is 178920

Given numbers has no common factors except 1. So, there LCM is their product i.e 178920

Least Common Multiple of 7,9,71,40 with GCF Formula

Least Common Multiple of 7,9,71,40 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 7,9,71,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,9,71,40) = 1

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

GCF(7,9,71,40) x common factors =1 x 1 = 1

LCM(7,9,71,40) = ( 7 × 9 × 71 × 40 ) / 1

LCM(7,9,71,40) = 178920 / 1

LCM(7,9,71,40) = 178920


Lets's calculate GCF of 42,28,49,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178920/1

Therefore the LCM of Fractions 7/42,9/28,71/49,40/978 is 178920

Greatest Common Factor of 42,28,49,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,28,49,978 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 42,28,49,978 . The biggest common factor number is the GCF number.
So the greatest common factor 42,28,49,978 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, 9/28, 71/49, 40/978

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, 9/28, 71/49, 40/978?

Answer: LCM of Numerators as per given numbers 7/42, 9/28, 71/49, 40/978 is

LCM of Numerators i.e. for 7,9,71,40 is 178920

GCF of denominators i.e. for 42,28,49,978 is 1.

Thus, LCM of Fractions is 178920.Finally, LCM of Fractions for 7/42, 9/28, 71/49, 40/978 is 178920.