Least Common Multiple of 398/987, 5966/1002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/987, 5966/1002 quickly i.e. 1187234/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/987, 5966/1002 is 1187234/3.

LCM(398/987, 5966/1002) = 1187234/3

LCM of 398/987, 5966/1002

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 398/987,5966/1002

Given numbers are 398/987,5966/1002

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 398,5966

Least Common Multiple of Numerators i.e. LCM of 398,5966 is 1187234.

GCF of Denominators means GCF of 987,1002 as per the given fractions.

GCF of 987,1002 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,5966

LCM of Fractions 398/987,5966/1002 is 1187234/3

2 398, 5966
199, 2983

∴ So the LCM of the given numbers is 2 x 199 x 2983 = 1187234

Least Common Multiple of 398,5966 with GCF Formula

Least Common Multiple of 398,5966 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 398,5966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,5966) = 2

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

GCF(398,5966) x common factors =2 x 1 = 2

LCM(398,5966) = ( 398 × 5966 ) / 2

LCM(398,5966) = 2374468 / 2

LCM(398,5966) = 1187234


Lets's calculate GCF of 987,1002

3 987, 1002
329, 334

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1187234/3

Therefore the LCM of Fractions 398/987,5966/1002 is 1187234/3

Greatest Common Factor of 987,1002 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,1002 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 1002

List of positive integer factors of 1002 that divides 1002 without a remainder.

1,2,3,6,167,334,501,1002

Greatest Common Factor

We found the factors 987,1002 . The biggest common factor number is the GCF number.
So the greatest common factor 987,1002 is 3.


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 398/987, 5966/1002

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 398/987, 5966/1002?

Answer: LCM of Numerators as per given numbers 398/987, 5966/1002 is

LCM of Numerators i.e. for 398,5966 is 1187234

GCF of denominators i.e. for 987,1002 is 3.

Thus, LCM of Fractions is 1187234/3.Finally, LCM of Fractions for 398/987, 5966/1002 is 1187234/3.