Least Common Multiple of 494/987, 1854/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/987, 1854/987 quickly i.e. 457938/987 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/987, 1854/987 is 457938/987.

LCM(494/987, 1854/987) = 457938/987

LCM of 494/987, 1854/987

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 494/987,1854/987

Given numbers are 494/987,1854/987

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 494,1854

Least Common Multiple of Numerators i.e. LCM of 494,1854 is 457938.

GCF of Denominators means GCF of 987,987 as per the given fractions.

GCF of 987,987 is 987 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,1854

LCM of Fractions 494/987,1854/987 is 457938/987

2 494, 1854
247, 927

∴ So the LCM of the given numbers is 2 x 247 x 927 = 457938

Least Common Multiple of 494,1854 with GCF Formula

Least Common Multiple of 494,1854 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 494,1854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,1854) = 2

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

GCF(494,1854) x common factors =2 x 1 = 2

LCM(494,1854) = ( 494 × 1854 ) / 2

LCM(494,1854) = 915876 / 2

LCM(494,1854) = 457938


Lets's calculate GCF of 987,987

3 987, 987
7 329, 329
47 47, 47
1, 1

∴ So the GCF of the given numbers is 3 x 7 x 47 = 987

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457938/987

Therefore the LCM of Fractions 494/987,1854/987 is 457938/987

Greatest Common Factor of 987,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,987 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 987,987 . The biggest common factor number is the GCF number.
So the greatest common factor 987,987 is 987.


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 494/987, 1854/987

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 494/987, 1854/987?

Answer: LCM of Numerators as per given numbers 494/987, 1854/987 is

LCM of Numerators i.e. for 494,1854 is 457938

GCF of denominators i.e. for 987,987 is 987.

Thus, LCM of Fractions is 457938/987.Finally, LCM of Fractions for 494/987, 1854/987 is 457938/987.