Least Common Multiple of 90/194, 116/608, 102/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/194, 116/608, 102/860 quickly i.e. 44370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/194, 116/608, 102/860 is 44370.

LCM(90/194, 116/608, 102/860) = 44370

LCM of 90/194, 116/608, 102/860

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 90/194,116/608,102/860

Given numbers are 90/194,116/608,102/860

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 90,116,102

Least Common Multiple of Numerators i.e. LCM of 90,116,102 is 88740.

GCF of Denominators means GCF of 194,608,860 as per the given fractions.

GCF of 194,608,860 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,116,102

LCM of Fractions 90/194,116/608,102/860 is 44370

2 90, 116, 102
3 45, 58, 51
15, 58, 17

∴ So the LCM of the given numbers is 2 x 3 x 15 x 58 x 17 = 88740

Least Common Multiple of 90,116,102 with GCF Formula

Least Common Multiple of 90,116,102 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 90,116,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,116,102) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(90,116,102) x common factors =2 x 6 = 12

LCM(90,116,102) = ( 90 × 116 × 102 ) / 12

LCM(90,116,102) = 1064880 / 12

LCM(90,116,102) = 88740


Lets's calculate GCF of 194,608,860

2 194, 608, 860
97, 304, 430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88740/2

Therefore the LCM of Fractions 90/194,116/608,102/860 is 44370

Greatest Common Factor of 194,608,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,608,860 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 194,608,860 . The biggest common factor number is the GCF number.
So the greatest common factor 194,608,860 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 90/194, 116/608, 102/860

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 90/194, 116/608, 102/860?

Answer: LCM of Numerators as per given numbers 90/194, 116/608, 102/860 is

LCM of Numerators i.e. for 90,116,102 is 88740

GCF of denominators i.e. for 194,608,860 is 2.

Thus, LCM of Fractions is 44370.Finally, LCM of Fractions for 90/194, 116/608, 102/860 is 44370.