Least Common Multiple of 1542/634, 9487/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1542/634, 9487/978 quickly i.e. 7314477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1542/634, 9487/978 is 7314477.

LCM(1542/634, 9487/978) = 7314477

LCM of 1542/634, 9487/978

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 1542/634,9487/978

Given numbers are 1542/634,9487/978

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 1542,9487

Least Common Multiple of Numerators i.e. LCM of 1542,9487 is 14628954.

GCF of Denominators means GCF of 634,978 as per the given fractions.

GCF of 634,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1542,9487

LCM of Fractions 1542/634,9487/978 is 7314477

Given numbers has no common factors except 1. So, there LCM is their product i.e 14628954

Least Common Multiple of 1542,9487 with GCF Formula

Least Common Multiple of 1542,9487 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 1542,9487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1542,9487) = 1

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

GCF(1542,9487) x common factors =1 x 1 = 1

LCM(1542,9487) = ( 1542 × 9487 ) / 1

LCM(1542,9487) = 14628954 / 1

LCM(1542,9487) = 14628954


Lets's calculate GCF of 634,978

2 634, 978
317, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14628954/2

Therefore the LCM of Fractions 1542/634,9487/978 is 7314477

Greatest Common Factor of 634,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,978 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

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 634,978 . The biggest common factor number is the GCF number.
So the greatest common factor 634,978 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 1542/634, 9487/978

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 1542/634, 9487/978?

Answer: LCM of Numerators as per given numbers 1542/634, 9487/978 is

LCM of Numerators i.e. for 1542,9487 is 14628954

GCF of denominators i.e. for 634,978 is 2.

Thus, LCM of Fractions is 7314477.Finally, LCM of Fractions for 1542/634, 9487/978 is 7314477.