Least Common Multiple of 724/36, 962/74, 189/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/36, 962/74, 189/798 quickly i.e. 32909058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/36, 962/74, 189/798 is 32909058.

LCM(724/36, 962/74, 189/798) = 32909058

LCM of 724/36, 962/74, 189/798

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 724/36,962/74,189/798

Given numbers are 724/36,962/74,189/798

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 724,962,189

Least Common Multiple of Numerators i.e. LCM of 724,962,189 is 65818116.

GCF of Denominators means GCF of 36,74,798 as per the given fractions.

GCF of 36,74,798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,962,189

LCM of Fractions 724/36,962/74,189/798 is 32909058

2 724, 962, 189
362, 481, 189

∴ So the LCM of the given numbers is 2 x 362 x 481 x 189 = 65818116

Least Common Multiple of 724,962,189 with GCF Formula

Least Common Multiple of 724,962,189 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 724,962,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,962,189) = 1

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

GCF(724,962,189) x common factors =1 x 2 = 2

LCM(724,962,189) = ( 724 × 962 × 189 ) / 2

LCM(724,962,189) = 131636232 / 2

LCM(724,962,189) = 65818116


Lets's calculate GCF of 36,74,798

2 36, 74, 798
18, 37, 399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65818116/2

Therefore the LCM of Fractions 724/36,962/74,189/798 is 32909058

Greatest Common Factor of 36,74,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,74,798 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 36,74,798 . The biggest common factor number is the GCF number.
So the greatest common factor 36,74,798 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 724/36, 962/74, 189/798

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 724/36, 962/74, 189/798?

Answer: LCM of Numerators as per given numbers 724/36, 962/74, 189/798 is

LCM of Numerators i.e. for 724,962,189 is 65818116

GCF of denominators i.e. for 36,74,798 is 2.

Thus, LCM of Fractions is 32909058.Finally, LCM of Fractions for 724/36, 962/74, 189/798 is 32909058.