Least Common Multiple of 7671/712, 5212/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7671/712, 5212/190 quickly i.e. 19990626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7671/712, 5212/190 is 19990626.

LCM(7671/712, 5212/190) = 19990626

LCM of 7671/712, 5212/190

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 7671/712,5212/190

Given numbers are 7671/712,5212/190

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 7671,5212

Least Common Multiple of Numerators i.e. LCM of 7671,5212 is 39981252.

GCF of Denominators means GCF of 712,190 as per the given fractions.

GCF of 712,190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7671,5212

LCM of Fractions 7671/712,5212/190 is 19990626

Given numbers has no common factors except 1. So, there LCM is their product i.e 39981252

Least Common Multiple of 7671,5212 with GCF Formula

Least Common Multiple of 7671,5212 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 7671,5212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7671,5212) = 1

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

GCF(7671,5212) x common factors =1 x 1 = 1

LCM(7671,5212) = ( 7671 × 5212 ) / 1

LCM(7671,5212) = 39981252 / 1

LCM(7671,5212) = 39981252


Lets's calculate GCF of 712,190

2 712, 190
356, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39981252/2

Therefore the LCM of Fractions 7671/712,5212/190 is 19990626

Greatest Common Factor of 712,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,190 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 712,190 . The biggest common factor number is the GCF number.
So the greatest common factor 712,190 is 2.


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Frequently Asked Questions on Fractional LCM of 7671/712, 5212/190

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 7671/712, 5212/190?

Answer: LCM of Numerators as per given numbers 7671/712, 5212/190 is

LCM of Numerators i.e. for 7671,5212 is 39981252

GCF of denominators i.e. for 712,190 is 2.

Thus, LCM of Fractions is 19990626.Finally, LCM of Fractions for 7671/712, 5212/190 is 19990626.