Least Common Multiple of 38/114, 89/601, 798/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/114, 89/601, 798/197 quickly i.e. 71022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/114, 89/601, 798/197 is 71022.

LCM(38/114, 89/601, 798/197) = 71022

LCM of 38/114, 89/601, 798/197

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 38/114,89/601,798/197

Given numbers are 38/114,89/601,798/197

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 38,89,798

Least Common Multiple of Numerators i.e. LCM of 38,89,798 is 71022.

GCF of Denominators means GCF of 114,601,197 as per the given fractions.

GCF of 114,601,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,89,798

LCM of Fractions 38/114,89/601,798/197 is 71022

2 38, 89, 798
19 19, 89, 399
1, 89, 21

∴ So the LCM of the given numbers is 2 x 19 x 1 x 89 x 21 = 71022

Least Common Multiple of 38,89,798 with GCF Formula

Least Common Multiple of 38,89,798 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 38,89,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,89,798) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(38,89,798) x common factors =1 x 38 = 38

LCM(38,89,798) = ( 38 × 89 × 798 ) / 38

LCM(38,89,798) = 2698836 / 38

LCM(38,89,798) = 71022


Lets's calculate GCF of 114,601,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71022/1

Therefore the LCM of Fractions 38/114,89/601,798/197 is 71022

Greatest Common Factor of 114,601,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,601,197 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 114,601,197 . The biggest common factor number is the GCF number.
So the greatest common factor 114,601,197 is 1.


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 38/114, 89/601, 798/197

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 38/114, 89/601, 798/197?

Answer: LCM of Numerators as per given numbers 38/114, 89/601, 798/197 is

LCM of Numerators i.e. for 38,89,798 is 71022

GCF of denominators i.e. for 114,601,197 is 1.

Thus, LCM of Fractions is 71022.Finally, LCM of Fractions for 38/114, 89/601, 798/197 is 71022.