Least Common Multiple of 708/12, 513/76, 437/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 708/12, 513/76, 437/535 quickly i.e. 2784564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/12, 513/76, 437/535 is 2784564.

LCM(708/12, 513/76, 437/535) = 2784564

LCM of 708/12, 513/76, 437/535

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 708/12,513/76,437/535

Given numbers are 708/12,513/76,437/535

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 708,513,437

Least Common Multiple of Numerators i.e. LCM of 708,513,437 is 2784564.

GCF of Denominators means GCF of 12,76,535 as per the given fractions.

GCF of 12,76,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,513,437

LCM of Fractions 708/12,513/76,437/535 is 2784564

3 708, 513, 437
19 236, 171, 437
236, 9, 23

∴ So the LCM of the given numbers is 3 x 19 x 236 x 9 x 23 = 2784564

Least Common Multiple of 708,513,437 with GCF Formula

Least Common Multiple of 708,513,437 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 708,513,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,513,437) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(708,513,437) x common factors =1 x 57 = 57

LCM(708,513,437) = ( 708 × 513 × 437 ) / 57

LCM(708,513,437) = 158720148 / 57

LCM(708,513,437) = 2784564


Lets's calculate GCF of 12,76,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2784564/1

Therefore the LCM of Fractions 708/12,513/76,437/535 is 2784564

Greatest Common Factor of 12,76,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,76,535 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 12,76,535 . The biggest common factor number is the GCF number.
So the greatest common factor 12,76,535 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 708/12, 513/76, 437/535

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 708/12, 513/76, 437/535?

Answer: LCM of Numerators as per given numbers 708/12, 513/76, 437/535 is

LCM of Numerators i.e. for 708,513,437 is 2784564

GCF of denominators i.e. for 12,76,535 is 1.

Thus, LCM of Fractions is 2784564.Finally, LCM of Fractions for 708/12, 513/76, 437/535 is 2784564.