Least Common Multiple of 921/142, 315/196, 116/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 921/142, 315/196, 116/353 quickly i.e. 11217780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 921/142, 315/196, 116/353 is 11217780.

LCM(921/142, 315/196, 116/353) = 11217780

LCM of 921/142, 315/196, 116/353

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 921/142,315/196,116/353

Given numbers are 921/142,315/196,116/353

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 921,315,116

Least Common Multiple of Numerators i.e. LCM of 921,315,116 is 11217780.

GCF of Denominators means GCF of 142,196,353 as per the given fractions.

GCF of 142,196,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 921,315,116

LCM of Fractions 921/142,315/196,116/353 is 11217780

3 921, 315, 116
307, 105, 116

∴ So the LCM of the given numbers is 3 x 307 x 105 x 116 = 11217780

Least Common Multiple of 921,315,116 with GCF Formula

Least Common Multiple of 921,315,116 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 921,315,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,315,116) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(921,315,116) x common factors =1 x 3 = 3

LCM(921,315,116) = ( 921 × 315 × 116 ) / 3

LCM(921,315,116) = 33653340 / 3

LCM(921,315,116) = 11217780


Lets's calculate GCF of 142,196,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11217780/1

Therefore the LCM of Fractions 921/142,315/196,116/353 is 11217780

Greatest Common Factor of 142,196,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,196,353 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 142,196,353 . The biggest common factor number is the GCF number.
So the greatest common factor 142,196,353 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 921/142, 315/196, 116/353

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 921/142, 315/196, 116/353?

Answer: LCM of Numerators as per given numbers 921/142, 315/196, 116/353 is

LCM of Numerators i.e. for 921,315,116 is 11217780

GCF of denominators i.e. for 142,196,353 is 1.

Thus, LCM of Fractions is 11217780.Finally, LCM of Fractions for 921/142, 315/196, 116/353 is 11217780.