Least Common Multiple of 961/595, 197/231, 850/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 961/595, 197/231, 850/189 quickly i.e. 160919450/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 961/595, 197/231, 850/189 is 160919450/7.

LCM(961/595, 197/231, 850/189) = 160919450/7

LCM of 961/595, 197/231, 850/189

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 961/595,197/231,850/189

Given numbers are 961/595,197/231,850/189

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 961,197,850

Least Common Multiple of Numerators i.e. LCM of 961,197,850 is 160919450.

GCF of Denominators means GCF of 595,231,189 as per the given fractions.

GCF of 595,231,189 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 961,197,850

LCM of Fractions 961/595,197/231,850/189 is 160919450/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 160919450

Least Common Multiple of 961,197,850 with GCF Formula

Least Common Multiple of 961,197,850 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 961,197,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,197,850) = 1

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

GCF(961,197,850) x common factors =1 x 1 = 1

LCM(961,197,850) = ( 961 × 197 × 850 ) / 1

LCM(961,197,850) = 160919450 / 1

LCM(961,197,850) = 160919450


Lets's calculate GCF of 595,231,189

7 595, 231, 189
85, 33, 27

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160919450/7

Therefore the LCM of Fractions 961/595,197/231,850/189 is 160919450/7

Greatest Common Factor of 595,231,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,231,189 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

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 595,231,189 . The biggest common factor number is the GCF number.
So the greatest common factor 595,231,189 is 7.


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 961/595, 197/231, 850/189

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 961/595, 197/231, 850/189?

Answer: LCM of Numerators as per given numbers 961/595, 197/231, 850/189 is

LCM of Numerators i.e. for 961,197,850 is 160919450

GCF of denominators i.e. for 595,231,189 is 7.

Thus, LCM of Fractions is 160919450/7.Finally, LCM of Fractions for 961/595, 197/231, 850/189 is 160919450/7.