Least Common Multiple of 74/743, 243/528, 975/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/743, 243/528, 975/203 quickly i.e. 5844150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/743, 243/528, 975/203 is 5844150.

LCM(74/743, 243/528, 975/203) = 5844150

LCM of 74/743, 243/528, 975/203

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 74/743,243/528,975/203

Given numbers are 74/743,243/528,975/203

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 74,243,975

Least Common Multiple of Numerators i.e. LCM of 74,243,975 is 5844150.

GCF of Denominators means GCF of 743,528,203 as per the given fractions.

GCF of 743,528,203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,243,975

LCM of Fractions 74/743,243/528,975/203 is 5844150

3 74, 243, 975
74, 81, 325

∴ So the LCM of the given numbers is 3 x 74 x 81 x 325 = 5844150

Least Common Multiple of 74,243,975 with GCF Formula

Least Common Multiple of 74,243,975 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 74,243,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,243,975) = 1

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

GCF(74,243,975) x common factors =1 x 3 = 3

LCM(74,243,975) = ( 74 × 243 × 975 ) / 3

LCM(74,243,975) = 17532450 / 3

LCM(74,243,975) = 5844150


Lets's calculate GCF of 743,528,203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5844150/1

Therefore the LCM of Fractions 74/743,243/528,975/203 is 5844150

Greatest Common Factor of 743,528,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,528,203 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 743,528,203 . The biggest common factor number is the GCF number.
So the greatest common factor 743,528,203 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 74/743, 243/528, 975/203

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 74/743, 243/528, 975/203?

Answer: LCM of Numerators as per given numbers 74/743, 243/528, 975/203 is

LCM of Numerators i.e. for 74,243,975 is 5844150

GCF of denominators i.e. for 743,528,203 is 1.

Thus, LCM of Fractions is 5844150.Finally, LCM of Fractions for 74/743, 243/528, 975/203 is 5844150.