Least Common Multiple of 213/73, 7936/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 213/73, 7936/558 quickly i.e. 1690368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/73, 7936/558 is 1690368.

LCM(213/73, 7936/558) = 1690368

LCM of 213/73, 7936/558

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 213/73,7936/558

Given numbers are 213/73,7936/558

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 213,7936

Least Common Multiple of Numerators i.e. LCM of 213,7936 is 1690368.

GCF of Denominators means GCF of 73,558 as per the given fractions.

GCF of 73,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,7936

LCM of Fractions 213/73,7936/558 is 1690368

Given numbers has no common factors except 1. So, there LCM is their product i.e 1690368

Least Common Multiple of 213,7936 with GCF Formula

Least Common Multiple of 213,7936 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 213,7936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,7936) = 1

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

GCF(213,7936) x common factors =1 x 1 = 1

LCM(213,7936) = ( 213 × 7936 ) / 1

LCM(213,7936) = 1690368 / 1

LCM(213,7936) = 1690368


Lets's calculate GCF of 73,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1690368/1

Therefore the LCM of Fractions 213/73,7936/558 is 1690368

Greatest Common Factor of 73,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,558 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 73,558 . The biggest common factor number is the GCF number.
So the greatest common factor 73,558 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 213/73, 7936/558

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 213/73, 7936/558?

Answer: LCM of Numerators as per given numbers 213/73, 7936/558 is

LCM of Numerators i.e. for 213,7936 is 1690368

GCF of denominators i.e. for 73,558 is 1.

Thus, LCM of Fractions is 1690368.Finally, LCM of Fractions for 213/73, 7936/558 is 1690368.