Least Common Multiple of 172/94, 274/90, 213/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/94, 274/90, 213/410 quickly i.e. 2509566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/94, 274/90, 213/410 is 2509566.

LCM(172/94, 274/90, 213/410) = 2509566

LCM of 172/94, 274/90, 213/410

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 172/94,274/90,213/410

Given numbers are 172/94,274/90,213/410

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 172,274,213

Least Common Multiple of Numerators i.e. LCM of 172,274,213 is 5019132.

GCF of Denominators means GCF of 94,90,410 as per the given fractions.

GCF of 94,90,410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,274,213

LCM of Fractions 172/94,274/90,213/410 is 2509566

2 172, 274, 213
86, 137, 213

∴ So the LCM of the given numbers is 2 x 86 x 137 x 213 = 5019132

Least Common Multiple of 172,274,213 with GCF Formula

Least Common Multiple of 172,274,213 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 172,274,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,274,213) = 1

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

GCF(172,274,213) x common factors =1 x 2 = 2

LCM(172,274,213) = ( 172 × 274 × 213 ) / 2

LCM(172,274,213) = 10038264 / 2

LCM(172,274,213) = 5019132


Lets's calculate GCF of 94,90,410

2 94, 90, 410
47, 45, 205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5019132/2

Therefore the LCM of Fractions 172/94,274/90,213/410 is 2509566

Greatest Common Factor of 94,90,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,90,410 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 94,90,410 . The biggest common factor number is the GCF number.
So the greatest common factor 94,90,410 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 172/94, 274/90, 213/410

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 172/94, 274/90, 213/410?

Answer: LCM of Numerators as per given numbers 172/94, 274/90, 213/410 is

LCM of Numerators i.e. for 172,274,213 is 5019132

GCF of denominators i.e. for 94,90,410 is 2.

Thus, LCM of Fractions is 2509566.Finally, LCM of Fractions for 172/94, 274/90, 213/410 is 2509566.