Least Common Multiple of 395/134, 977/988, 198/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/134, 977/988, 198/464 quickly i.e. 38205585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/134, 977/988, 198/464 is 38205585.

LCM(395/134, 977/988, 198/464) = 38205585

LCM of 395/134, 977/988, 198/464

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 395/134,977/988,198/464

Given numbers are 395/134,977/988,198/464

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 395,977,198

Least Common Multiple of Numerators i.e. LCM of 395,977,198 is 76411170.

GCF of Denominators means GCF of 134,988,464 as per the given fractions.

GCF of 134,988,464 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,977,198

LCM of Fractions 395/134,977/988,198/464 is 38205585

Given numbers has no common factors except 1. So, there LCM is their product i.e 76411170

Least Common Multiple of 395,977,198 with GCF Formula

Least Common Multiple of 395,977,198 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 395,977,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,977,198) = 1

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

GCF(395,977,198) x common factors =1 x 1 = 1

LCM(395,977,198) = ( 395 × 977 × 198 ) / 1

LCM(395,977,198) = 76411170 / 1

LCM(395,977,198) = 76411170


Lets's calculate GCF of 134,988,464

2 134, 988, 464
67, 494, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76411170/2

Therefore the LCM of Fractions 395/134,977/988,198/464 is 38205585

Greatest Common Factor of 134,988,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,988,464 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 134,988,464 . The biggest common factor number is the GCF number.
So the greatest common factor 134,988,464 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 395/134, 977/988, 198/464

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 395/134, 977/988, 198/464?

Answer: LCM of Numerators as per given numbers 395/134, 977/988, 198/464 is

LCM of Numerators i.e. for 395,977,198 is 76411170

GCF of denominators i.e. for 134,988,464 is 2.

Thus, LCM of Fractions is 38205585.Finally, LCM of Fractions for 395/134, 977/988, 198/464 is 38205585.