Least Common Multiple of 212/42, 226/99, 195/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/42, 226/99, 195/309 quickly i.e. 1557140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/42, 226/99, 195/309 is 1557140.

LCM(212/42, 226/99, 195/309) = 1557140

LCM of 212/42, 226/99, 195/309

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 212/42,226/99,195/309

Given numbers are 212/42,226/99,195/309

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 212,226,195

Least Common Multiple of Numerators i.e. LCM of 212,226,195 is 4671420.

GCF of Denominators means GCF of 42,99,309 as per the given fractions.

GCF of 42,99,309 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,226,195

LCM of Fractions 212/42,226/99,195/309 is 1557140

2 212, 226, 195
106, 113, 195

∴ So the LCM of the given numbers is 2 x 106 x 113 x 195 = 4671420

Least Common Multiple of 212,226,195 with GCF Formula

Least Common Multiple of 212,226,195 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 212,226,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,226,195) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(212,226,195) x common factors =1 x 2 = 2

LCM(212,226,195) = ( 212 × 226 × 195 ) / 2

LCM(212,226,195) = 9342840 / 2

LCM(212,226,195) = 4671420


Lets's calculate GCF of 42,99,309

3 42, 99, 309
14, 33, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4671420/3

Therefore the LCM of Fractions 212/42,226/99,195/309 is 1557140

Greatest Common Factor of 42,99,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,99,309 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 42,99,309 . The biggest common factor number is the GCF number.
So the greatest common factor 42,99,309 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 212/42, 226/99, 195/309

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 212/42, 226/99, 195/309?

Answer: LCM of Numerators as per given numbers 212/42, 226/99, 195/309 is

LCM of Numerators i.e. for 212,226,195 is 4671420

GCF of denominators i.e. for 42,99,309 is 3.

Thus, LCM of Fractions is 1557140.Finally, LCM of Fractions for 212/42, 226/99, 195/309 is 1557140.