Least Common Multiple of 212/372, 7090/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/372, 7090/217 quickly i.e. 751540/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/372, 7090/217 is 751540/31.

LCM(212/372, 7090/217) = 751540/31

LCM of 212/372, 7090/217

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 212/372,7090/217

Given numbers are 212/372,7090/217

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 212,7090

Least Common Multiple of Numerators i.e. LCM of 212,7090 is 751540.

GCF of Denominators means GCF of 372,217 as per the given fractions.

GCF of 372,217 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,7090

LCM of Fractions 212/372,7090/217 is 751540/31

2 212, 7090
106, 3545

∴ So the LCM of the given numbers is 2 x 106 x 3545 = 751540

Least Common Multiple of 212,7090 with GCF Formula

Least Common Multiple of 212,7090 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 212,7090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,7090) = 2

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

GCF(212,7090) x common factors =2 x 1 = 2

LCM(212,7090) = ( 212 × 7090 ) / 2

LCM(212,7090) = 1503080 / 2

LCM(212,7090) = 751540


Lets's calculate GCF of 372,217

31 372, 217
12, 7

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 751540/31

Therefore the LCM of Fractions 212/372,7090/217 is 751540/31

Greatest Common Factor of 372,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,217 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 372,217 . The biggest common factor number is the GCF number.
So the greatest common factor 372,217 is 31.


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 212/372, 7090/217

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 212/372, 7090/217?

Answer: LCM of Numerators as per given numbers 212/372, 7090/217 is

LCM of Numerators i.e. for 212,7090 is 751540

GCF of denominators i.e. for 372,217 is 31.

Thus, LCM of Fractions is 751540/31.Finally, LCM of Fractions for 212/372, 7090/217 is 751540/31.