Least Common Multiple of 463/62, 681/17, 115/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 463/62, 681/17, 115/718 quickly i.e. 36259845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/62, 681/17, 115/718 is 36259845.

LCM(463/62, 681/17, 115/718) = 36259845

LCM of 463/62, 681/17, 115/718

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 463/62,681/17,115/718

Given numbers are 463/62,681/17,115/718

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 463,681,115

Least Common Multiple of Numerators i.e. LCM of 463,681,115 is 36259845.

GCF of Denominators means GCF of 62,17,718 as per the given fractions.

GCF of 62,17,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,681,115

LCM of Fractions 463/62,681/17,115/718 is 36259845

Given numbers has no common factors except 1. So, there LCM is their product i.e 36259845

Least Common Multiple of 463,681,115 with GCF Formula

Least Common Multiple of 463,681,115 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 463,681,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,681,115) = 1

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

GCF(463,681,115) x common factors =1 x 1 = 1

LCM(463,681,115) = ( 463 × 681 × 115 ) / 1

LCM(463,681,115) = 36259845 / 1

LCM(463,681,115) = 36259845


Lets's calculate GCF of 62,17,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36259845/1

Therefore the LCM of Fractions 463/62,681/17,115/718 is 36259845

Greatest Common Factor of 62,17,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,17,718 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 62,17,718 . The biggest common factor number is the GCF number.
So the greatest common factor 62,17,718 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 463/62, 681/17, 115/718

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 463/62, 681/17, 115/718?

Answer: LCM of Numerators as per given numbers 463/62, 681/17, 115/718 is

LCM of Numerators i.e. for 463,681,115 is 36259845

GCF of denominators i.e. for 62,17,718 is 1.

Thus, LCM of Fractions is 36259845.Finally, LCM of Fractions for 463/62, 681/17, 115/718 is 36259845.