Least Common Multiple of 62/99, 66/72, 829/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/99, 66/72, 829/438 quickly i.e. 565378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/99, 66/72, 829/438 is 565378.

LCM(62/99, 66/72, 829/438) = 565378

LCM of 62/99, 66/72, 829/438

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 62/99,66/72,829/438

Given numbers are 62/99,66/72,829/438

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 62,66,829

Least Common Multiple of Numerators i.e. LCM of 62,66,829 is 1696134.

GCF of Denominators means GCF of 99,72,438 as per the given fractions.

GCF of 99,72,438 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,66,829

LCM of Fractions 62/99,66/72,829/438 is 565378

2 62, 66, 829
31, 33, 829

∴ So the LCM of the given numbers is 2 x 31 x 33 x 829 = 1696134

Least Common Multiple of 62,66,829 with GCF Formula

Least Common Multiple of 62,66,829 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 62,66,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,66,829) = 1

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

GCF(62,66,829) x common factors =1 x 2 = 2

LCM(62,66,829) = ( 62 × 66 × 829 ) / 2

LCM(62,66,829) = 3392268 / 2

LCM(62,66,829) = 1696134


Lets's calculate GCF of 99,72,438

3 99, 72, 438
33, 24, 146

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1696134/3

Therefore the LCM of Fractions 62/99,66/72,829/438 is 565378

Greatest Common Factor of 99,72,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,72,438 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 99,72,438 . The biggest common factor number is the GCF number.
So the greatest common factor 99,72,438 is 3.


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 62/99, 66/72, 829/438

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 62/99, 66/72, 829/438?

Answer: LCM of Numerators as per given numbers 62/99, 66/72, 829/438 is

LCM of Numerators i.e. for 62,66,829 is 1696134

GCF of denominators i.e. for 99,72,438 is 3.

Thus, LCM of Fractions is 565378.Finally, LCM of Fractions for 62/99, 66/72, 829/438 is 565378.