Least Common Multiple of 134/31, 502/65, 712/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 134/31, 502/65, 712/436 quickly i.e. 11973704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 134/31, 502/65, 712/436 is 11973704.

LCM(134/31, 502/65, 712/436) = 11973704

LCM of 134/31, 502/65, 712/436

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 134/31,502/65,712/436

Given numbers are 134/31,502/65,712/436

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 134,502,712

Least Common Multiple of Numerators i.e. LCM of 134,502,712 is 11973704.

GCF of Denominators means GCF of 31,65,436 as per the given fractions.

GCF of 31,65,436 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 134,502,712

LCM of Fractions 134/31,502/65,712/436 is 11973704

2 134, 502, 712
67, 251, 356

∴ So the LCM of the given numbers is 2 x 67 x 251 x 356 = 11973704

Least Common Multiple of 134,502,712 with GCF Formula

Least Common Multiple of 134,502,712 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 134,502,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,502,712) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(134,502,712) x common factors =2 x 2 = 4

LCM(134,502,712) = ( 134 × 502 × 712 ) / 4

LCM(134,502,712) = 47894816 / 4

LCM(134,502,712) = 11973704


Lets's calculate GCF of 31,65,436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11973704/1

Therefore the LCM of Fractions 134/31,502/65,712/436 is 11973704

Greatest Common Factor of 31,65,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,65,436 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 31,65,436 . The biggest common factor number is the GCF number.
So the greatest common factor 31,65,436 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 134/31, 502/65, 712/436

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 134/31, 502/65, 712/436?

Answer: LCM of Numerators as per given numbers 134/31, 502/65, 712/436 is

LCM of Numerators i.e. for 134,502,712 is 11973704

GCF of denominators i.e. for 31,65,436 is 1.

Thus, LCM of Fractions is 11973704.Finally, LCM of Fractions for 134/31, 502/65, 712/436 is 11973704.