Least Common Multiple of 10/242, 953/854, 194/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/242, 953/854, 194/340 quickly i.e. 462205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/242, 953/854, 194/340 is 462205.

LCM(10/242, 953/854, 194/340) = 462205

LCM of 10/242, 953/854, 194/340

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 10/242,953/854,194/340

Given numbers are 10/242,953/854,194/340

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 10,953,194

Least Common Multiple of Numerators i.e. LCM of 10,953,194 is 924410.

GCF of Denominators means GCF of 242,854,340 as per the given fractions.

GCF of 242,854,340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,953,194

LCM of Fractions 10/242,953/854,194/340 is 462205

2 10, 953, 194
5, 953, 97

∴ So the LCM of the given numbers is 2 x 5 x 953 x 97 = 924410

Least Common Multiple of 10,953,194 with GCF Formula

Least Common Multiple of 10,953,194 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 10,953,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,953,194) = 1

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

GCF(10,953,194) x common factors =1 x 2 = 2

LCM(10,953,194) = ( 10 × 953 × 194 ) / 2

LCM(10,953,194) = 1848820 / 2

LCM(10,953,194) = 924410


Lets's calculate GCF of 242,854,340

2 242, 854, 340
121, 427, 170

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 924410/2

Therefore the LCM of Fractions 10/242,953/854,194/340 is 462205

Greatest Common Factor of 242,854,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,854,340 By Matching Biggest Common Factor Method

Factors of 242

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

1,2,11,22,121,242

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 242,854,340 . The biggest common factor number is the GCF number.
So the greatest common factor 242,854,340 is 2.


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 10/242, 953/854, 194/340

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 10/242, 953/854, 194/340?

Answer: LCM of Numerators as per given numbers 10/242, 953/854, 194/340 is

LCM of Numerators i.e. for 10,953,194 is 924410

GCF of denominators i.e. for 242,854,340 is 2.

Thus, LCM of Fractions is 462205.Finally, LCM of Fractions for 10/242, 953/854, 194/340 is 462205.