Least Common Multiple of 24/744, 622/703, 662/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/744, 622/703, 662/198 quickly i.e. 2470584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/744, 622/703, 662/198 is 2470584.

LCM(24/744, 622/703, 662/198) = 2470584

LCM of 24/744, 622/703, 662/198

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 24/744,622/703,662/198

Given numbers are 24/744,622/703,662/198

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 24,622,662

Least Common Multiple of Numerators i.e. LCM of 24,622,662 is 2470584.

GCF of Denominators means GCF of 744,703,198 as per the given fractions.

GCF of 744,703,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,622,662

LCM of Fractions 24/744,622/703,662/198 is 2470584

2 24, 622, 662
12, 311, 331

∴ So the LCM of the given numbers is 2 x 12 x 311 x 331 = 2470584

Least Common Multiple of 24,622,662 with GCF Formula

Least Common Multiple of 24,622,662 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 24,622,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,622,662) = 2

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

GCF(24,622,662) x common factors =2 x 2 = 4

LCM(24,622,662) = ( 24 × 622 × 662 ) / 4

LCM(24,622,662) = 9882336 / 4

LCM(24,622,662) = 2470584


Lets's calculate GCF of 744,703,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2470584/1

Therefore the LCM of Fractions 24/744,622/703,662/198 is 2470584

Greatest Common Factor of 744,703,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,703,198 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 744,703,198 . The biggest common factor number is the GCF number.
So the greatest common factor 744,703,198 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 24/744, 622/703, 662/198

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 24/744, 622/703, 662/198?

Answer: LCM of Numerators as per given numbers 24/744, 622/703, 662/198 is

LCM of Numerators i.e. for 24,622,662 is 2470584

GCF of denominators i.e. for 744,703,198 is 1.

Thus, LCM of Fractions is 2470584.Finally, LCM of Fractions for 24/744, 622/703, 662/198 is 2470584.