Least Common Multiple of 732/814, 323/632, 465/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/814, 323/632, 465/766 quickly i.e. 18323790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/814, 323/632, 465/766 is 18323790.

LCM(732/814, 323/632, 465/766) = 18323790

LCM of 732/814, 323/632, 465/766

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 732/814,323/632,465/766

Given numbers are 732/814,323/632,465/766

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 732,323,465

Least Common Multiple of Numerators i.e. LCM of 732,323,465 is 36647580.

GCF of Denominators means GCF of 814,632,766 as per the given fractions.

GCF of 814,632,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,323,465

LCM of Fractions 732/814,323/632,465/766 is 18323790

3 732, 323, 465
244, 323, 155

∴ So the LCM of the given numbers is 3 x 244 x 323 x 155 = 36647580

Least Common Multiple of 732,323,465 with GCF Formula

Least Common Multiple of 732,323,465 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 732,323,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,323,465) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(732,323,465) x common factors =1 x 3 = 3

LCM(732,323,465) = ( 732 × 323 × 465 ) / 3

LCM(732,323,465) = 109942740 / 3

LCM(732,323,465) = 36647580


Lets's calculate GCF of 814,632,766

2 814, 632, 766
407, 316, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36647580/2

Therefore the LCM of Fractions 732/814,323/632,465/766 is 18323790

Greatest Common Factor of 814,632,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,632,766 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 814,632,766 . The biggest common factor number is the GCF number.
So the greatest common factor 814,632,766 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 732/814, 323/632, 465/766

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 732/814, 323/632, 465/766?

Answer: LCM of Numerators as per given numbers 732/814, 323/632, 465/766 is

LCM of Numerators i.e. for 732,323,465 is 36647580

GCF of denominators i.e. for 814,632,766 is 2.

Thus, LCM of Fractions is 18323790.Finally, LCM of Fractions for 732/814, 323/632, 465/766 is 18323790.