Least Common Multiple of 998/644, 118/946, 136/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/644, 118/946, 136/492 quickly i.e. 2001988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/644, 118/946, 136/492 is 2001988.

LCM(998/644, 118/946, 136/492) = 2001988

LCM of 998/644, 118/946, 136/492

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 998/644,118/946,136/492

Given numbers are 998/644,118/946,136/492

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 998,118,136

Least Common Multiple of Numerators i.e. LCM of 998,118,136 is 4003976.

GCF of Denominators means GCF of 644,946,492 as per the given fractions.

GCF of 644,946,492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,118,136

LCM of Fractions 998/644,118/946,136/492 is 2001988

2 998, 118, 136
499, 59, 68

∴ So the LCM of the given numbers is 2 x 499 x 59 x 68 = 4003976

Least Common Multiple of 998,118,136 with GCF Formula

Least Common Multiple of 998,118,136 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 998,118,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,118,136) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(998,118,136) x common factors =2 x 2 = 4

LCM(998,118,136) = ( 998 × 118 × 136 ) / 4

LCM(998,118,136) = 16015904 / 4

LCM(998,118,136) = 4003976


Lets's calculate GCF of 644,946,492

2 644, 946, 492
322, 473, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4003976/2

Therefore the LCM of Fractions 998/644,118/946,136/492 is 2001988

Greatest Common Factor of 644,946,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,946,492 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 644,946,492 . The biggest common factor number is the GCF number.
So the greatest common factor 644,946,492 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 998/644, 118/946, 136/492

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 998/644, 118/946, 136/492?

Answer: LCM of Numerators as per given numbers 998/644, 118/946, 136/492 is

LCM of Numerators i.e. for 998,118,136 is 4003976

GCF of denominators i.e. for 644,946,492 is 2.

Thus, LCM of Fractions is 2001988.Finally, LCM of Fractions for 998/644, 118/946, 136/492 is 2001988.