Least Common Multiple of 712/344, 3274/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 712/344, 3274/885 quickly i.e. 1165544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/344, 3274/885 is 1165544.

LCM(712/344, 3274/885) = 1165544

LCM of 712/344, 3274/885

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 712/344,3274/885

Given numbers are 712/344,3274/885

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 712,3274

Least Common Multiple of Numerators i.e. LCM of 712,3274 is 1165544.

GCF of Denominators means GCF of 344,885 as per the given fractions.

GCF of 344,885 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,3274

LCM of Fractions 712/344,3274/885 is 1165544

2 712, 3274
356, 1637

∴ So the LCM of the given numbers is 2 x 356 x 1637 = 1165544

Least Common Multiple of 712,3274 with GCF Formula

Least Common Multiple of 712,3274 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 712,3274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,3274) = 2

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

GCF(712,3274) x common factors =2 x 1 = 2

LCM(712,3274) = ( 712 × 3274 ) / 2

LCM(712,3274) = 2331088 / 2

LCM(712,3274) = 1165544


Lets's calculate GCF of 344,885

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1165544/1

Therefore the LCM of Fractions 712/344,3274/885 is 1165544

Greatest Common Factor of 344,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,885 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 344,885 . The biggest common factor number is the GCF number.
So the greatest common factor 344,885 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 712/344, 3274/885

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 712/344, 3274/885?

Answer: LCM of Numerators as per given numbers 712/344, 3274/885 is

LCM of Numerators i.e. for 712,3274 is 1165544

GCF of denominators i.e. for 344,885 is 1.

Thus, LCM of Fractions is 1165544.Finally, LCM of Fractions for 712/344, 3274/885 is 1165544.