Least Common Multiple of 919/989, 494/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 919/989, 494/198 quickly i.e. 453986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 919/989, 494/198 is 453986.

LCM(919/989, 494/198) = 453986

LCM of 919/989, 494/198

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 919/989,494/198

Given numbers are 919/989,494/198

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 919,494

Least Common Multiple of Numerators i.e. LCM of 919,494 is 453986.

GCF of Denominators means GCF of 989,198 as per the given fractions.

GCF of 989,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 919,494

LCM of Fractions 919/989,494/198 is 453986

Given numbers has no common factors except 1. So, there LCM is their product i.e 453986

Least Common Multiple of 919,494 with GCF Formula

Least Common Multiple of 919,494 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 919,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,494) = 1

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

GCF(919,494) x common factors =1 x 1 = 1

LCM(919,494) = ( 919 × 494 ) / 1

LCM(919,494) = 453986 / 1

LCM(919,494) = 453986


Lets's calculate GCF of 989,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453986/1

Therefore the LCM of Fractions 919/989,494/198 is 453986

Greatest Common Factor of 989,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,198 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 989,198 . The biggest common factor number is the GCF number.
So the greatest common factor 989,198 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 919/989, 494/198

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 919/989, 494/198?

Answer: LCM of Numerators as per given numbers 919/989, 494/198 is

LCM of Numerators i.e. for 919,494 is 453986

GCF of denominators i.e. for 989,198 is 1.

Thus, LCM of Fractions is 453986.Finally, LCM of Fractions for 919/989, 494/198 is 453986.