Least Common Multiple of 29/113, 35/862, 631/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/113, 35/862, 631/415 quickly i.e. 640465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/113, 35/862, 631/415 is 640465.

LCM(29/113, 35/862, 631/415) = 640465

LCM of 29/113, 35/862, 631/415

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 29/113,35/862,631/415

Given numbers are 29/113,35/862,631/415

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 29,35,631

Least Common Multiple of Numerators i.e. LCM of 29,35,631 is 640465.

GCF of Denominators means GCF of 113,862,415 as per the given fractions.

GCF of 113,862,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,35,631

LCM of Fractions 29/113,35/862,631/415 is 640465

Given numbers has no common factors except 1. So, there LCM is their product i.e 640465

Least Common Multiple of 29,35,631 with GCF Formula

Least Common Multiple of 29,35,631 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 29,35,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,35,631) = 1

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

GCF(29,35,631) x common factors =1 x 1 = 1

LCM(29,35,631) = ( 29 × 35 × 631 ) / 1

LCM(29,35,631) = 640465 / 1

LCM(29,35,631) = 640465


Lets's calculate GCF of 113,862,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 640465/1

Therefore the LCM of Fractions 29/113,35/862,631/415 is 640465

Greatest Common Factor of 113,862,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,862,415 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 113,862,415 . The biggest common factor number is the GCF number.
So the greatest common factor 113,862,415 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 29/113, 35/862, 631/415

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 29/113, 35/862, 631/415?

Answer: LCM of Numerators as per given numbers 29/113, 35/862, 631/415 is

LCM of Numerators i.e. for 29,35,631 is 640465

GCF of denominators i.e. for 113,862,415 is 1.

Thus, LCM of Fractions is 640465.Finally, LCM of Fractions for 29/113, 35/862, 631/415 is 640465.