Least Common Multiple of 67/148, 195/91, 131/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/148, 195/91, 131/242 quickly i.e. 1711515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/148, 195/91, 131/242 is 1711515.

LCM(67/148, 195/91, 131/242) = 1711515

LCM of 67/148, 195/91, 131/242

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 67/148,195/91,131/242

Given numbers are 67/148,195/91,131/242

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 67,195,131

Least Common Multiple of Numerators i.e. LCM of 67,195,131 is 1711515.

GCF of Denominators means GCF of 148,91,242 as per the given fractions.

GCF of 148,91,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,195,131

LCM of Fractions 67/148,195/91,131/242 is 1711515

Given numbers has no common factors except 1. So, there LCM is their product i.e 1711515

Least Common Multiple of 67,195,131 with GCF Formula

Least Common Multiple of 67,195,131 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 67,195,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,195,131) = 1

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

GCF(67,195,131) x common factors =1 x 1 = 1

LCM(67,195,131) = ( 67 × 195 × 131 ) / 1

LCM(67,195,131) = 1711515 / 1

LCM(67,195,131) = 1711515


Lets's calculate GCF of 148,91,242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1711515/1

Therefore the LCM of Fractions 67/148,195/91,131/242 is 1711515

Greatest Common Factor of 148,91,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,91,242 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 148,91,242 . The biggest common factor number is the GCF number.
So the greatest common factor 148,91,242 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 67/148, 195/91, 131/242

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 67/148, 195/91, 131/242?

Answer: LCM of Numerators as per given numbers 67/148, 195/91, 131/242 is

LCM of Numerators i.e. for 67,195,131 is 1711515

GCF of denominators i.e. for 148,91,242 is 1.

Thus, LCM of Fractions is 1711515.Finally, LCM of Fractions for 67/148, 195/91, 131/242 is 1711515.