Least Common Multiple of 213/90, 170/20, 949/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/90, 170/20, 949/60 quickly i.e. 3436329 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/90, 170/20, 949/60 is 3436329.

LCM(213/90, 170/20, 949/60) = 3436329

LCM of 213/90, 170/20, 949/60

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 213/90,170/20,949/60

Given numbers are 213/90,170/20,949/60

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 213,170,949

Least Common Multiple of Numerators i.e. LCM of 213,170,949 is 34363290.

GCF of Denominators means GCF of 90,20,60 as per the given fractions.

GCF of 90,20,60 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,170,949

LCM of Fractions 213/90,170/20,949/60 is 3436329

Given numbers has no common factors except 1. So, there LCM is their product i.e 34363290

Least Common Multiple of 213,170,949 with GCF Formula

Least Common Multiple of 213,170,949 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 213,170,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,170,949) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(213,170,949) x common factors =1 x 1 = 1

LCM(213,170,949) = ( 213 × 170 × 949 ) / 1

LCM(213,170,949) = 34363290 / 1

LCM(213,170,949) = 34363290


Lets's calculate GCF of 90,20,60

2 90, 20, 60
5 45, 10, 30
9, 2, 6

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34363290/10

Therefore the LCM of Fractions 213/90,170/20,949/60 is 3436329

Greatest Common Factor of 90,20,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,20,60 By Matching Biggest Common Factor Method

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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 90,20,60 . The biggest common factor number is the GCF number.
So the greatest common factor 90,20,60 is 10.


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 213/90, 170/20, 949/60

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 213/90, 170/20, 949/60?

Answer: LCM of Numerators as per given numbers 213/90, 170/20, 949/60 is

LCM of Numerators i.e. for 213,170,949 is 34363290

GCF of denominators i.e. for 90,20,60 is 10.

Thus, LCM of Fractions is 3436329.Finally, LCM of Fractions for 213/90, 170/20, 949/60 is 3436329.