Least Common Multiple of 995/876, 669/462, 197/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 995/876, 669/462, 197/189 quickly i.e. 43711345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 995/876, 669/462, 197/189 is 43711345.

LCM(995/876, 669/462, 197/189) = 43711345

LCM of 995/876, 669/462, 197/189

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 995/876,669/462,197/189

Given numbers are 995/876,669/462,197/189

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 995,669,197

Least Common Multiple of Numerators i.e. LCM of 995,669,197 is 131134035.

GCF of Denominators means GCF of 876,462,189 as per the given fractions.

GCF of 876,462,189 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 995,669,197

LCM of Fractions 995/876,669/462,197/189 is 43711345

Given numbers has no common factors except 1. So, there LCM is their product i.e 131134035

Least Common Multiple of 995,669,197 with GCF Formula

Least Common Multiple of 995,669,197 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 995,669,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,669,197) = 1

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

GCF(995,669,197) x common factors =1 x 1 = 1

LCM(995,669,197) = ( 995 × 669 × 197 ) / 1

LCM(995,669,197) = 131134035 / 1

LCM(995,669,197) = 131134035


Lets's calculate GCF of 876,462,189

3 876, 462, 189
292, 154, 63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131134035/3

Therefore the LCM of Fractions 995/876,669/462,197/189 is 43711345

Greatest Common Factor of 876,462,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,462,189 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 876,462,189 . The biggest common factor number is the GCF number.
So the greatest common factor 876,462,189 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 995/876, 669/462, 197/189

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 995/876, 669/462, 197/189?

Answer: LCM of Numerators as per given numbers 995/876, 669/462, 197/189 is

LCM of Numerators i.e. for 995,669,197 is 131134035

GCF of denominators i.e. for 876,462,189 is 3.

Thus, LCM of Fractions is 43711345.Finally, LCM of Fractions for 995/876, 669/462, 197/189 is 43711345.