Least Common Multiple of 634/206, 404/462, 723/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 634/206, 404/462, 723/116 quickly i.e. 46296582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/206, 404/462, 723/116 is 46296582.

LCM(634/206, 404/462, 723/116) = 46296582

LCM of 634/206, 404/462, 723/116

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 634/206,404/462,723/116

Given numbers are 634/206,404/462,723/116

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 634,404,723

Least Common Multiple of Numerators i.e. LCM of 634,404,723 is 92593164.

GCF of Denominators means GCF of 206,462,116 as per the given fractions.

GCF of 206,462,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,404,723

LCM of Fractions 634/206,404/462,723/116 is 46296582

2 634, 404, 723
317, 202, 723

∴ So the LCM of the given numbers is 2 x 317 x 202 x 723 = 92593164

Least Common Multiple of 634,404,723 with GCF Formula

Least Common Multiple of 634,404,723 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 634,404,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,404,723) = 1

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

GCF(634,404,723) x common factors =1 x 2 = 2

LCM(634,404,723) = ( 634 × 404 × 723 ) / 2

LCM(634,404,723) = 185186328 / 2

LCM(634,404,723) = 92593164


Lets's calculate GCF of 206,462,116

2 206, 462, 116
103, 231, 58

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92593164/2

Therefore the LCM of Fractions 634/206,404/462,723/116 is 46296582

Greatest Common Factor of 206,462,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,462,116 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 206,462,116 . The biggest common factor number is the GCF number.
So the greatest common factor 206,462,116 is 2.


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 634/206, 404/462, 723/116

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 634/206, 404/462, 723/116?

Answer: LCM of Numerators as per given numbers 634/206, 404/462, 723/116 is

LCM of Numerators i.e. for 634,404,723 is 92593164

GCF of denominators i.e. for 206,462,116 is 2.

Thus, LCM of Fractions is 46296582.Finally, LCM of Fractions for 634/206, 404/462, 723/116 is 46296582.