Least Common Multiple of 92/494, 190/325, 190/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/494, 190/325, 190/102 quickly i.e. 8740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/494, 190/325, 190/102 is 8740.

LCM(92/494, 190/325, 190/102) = 8740

LCM of 92/494, 190/325, 190/102

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 92/494,190/325,190/102

Given numbers are 92/494,190/325,190/102

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 92,190,190

Least Common Multiple of Numerators i.e. LCM of 92,190,190 is 8740.

GCF of Denominators means GCF of 494,325,102 as per the given fractions.

GCF of 494,325,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,190,190

LCM of Fractions 92/494,190/325,190/102 is 8740

2 92, 190, 190
5 46, 95, 95
19 46, 19, 19
46, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 19 x 46 x 1 x 1 = 8740

Least Common Multiple of 92,190,190 with GCF Formula

Least Common Multiple of 92,190,190 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 92,190,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,190,190) = 2

common factors(in case of two or more numbers have common factors) = 190

GCF(92,190,190) x common factors =2 x 190 = 380

LCM(92,190,190) = ( 92 × 190 × 190 ) / 380

LCM(92,190,190) = 3321200 / 380

LCM(92,190,190) = 8740


Lets's calculate GCF of 494,325,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8740/1

Therefore the LCM of Fractions 92/494,190/325,190/102 is 8740

Greatest Common Factor of 494,325,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,325,102 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 494,325,102 . The biggest common factor number is the GCF number.
So the greatest common factor 494,325,102 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 92/494, 190/325, 190/102

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 92/494, 190/325, 190/102?

Answer: LCM of Numerators as per given numbers 92/494, 190/325, 190/102 is

LCM of Numerators i.e. for 92,190,190 is 8740

GCF of denominators i.e. for 494,325,102 is 1.

Thus, LCM of Fractions is 8740.Finally, LCM of Fractions for 92/494, 190/325, 190/102 is 8740.