Least Common Multiple of 75/738, 97/850, 329/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/738, 97/850, 329/564 quickly i.e. 2393475/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/738, 97/850, 329/564 is 2393475/2.

LCM(75/738, 97/850, 329/564) = 2393475/2

LCM of 75/738, 97/850, 329/564

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 75/738,97/850,329/564

Given numbers are 75/738,97/850,329/564

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 75,97,329

Least Common Multiple of Numerators i.e. LCM of 75,97,329 is 2393475.

GCF of Denominators means GCF of 738,850,564 as per the given fractions.

GCF of 738,850,564 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,97,329

LCM of Fractions 75/738,97/850,329/564 is 2393475/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2393475

Least Common Multiple of 75,97,329 with GCF Formula

Least Common Multiple of 75,97,329 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 75,97,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,97,329) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(75,97,329) x common factors =1 x 1 = 1

LCM(75,97,329) = ( 75 × 97 × 329 ) / 1

LCM(75,97,329) = 2393475 / 1

LCM(75,97,329) = 2393475


Lets's calculate GCF of 738,850,564

2 738, 850, 564
369, 425, 282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2393475/2

Therefore the LCM of Fractions 75/738,97/850,329/564 is 2393475/2

Greatest Common Factor of 738,850,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,850,564 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 738,850,564 . The biggest common factor number is the GCF number.
So the greatest common factor 738,850,564 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 75/738, 97/850, 329/564

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 75/738, 97/850, 329/564?

Answer: LCM of Numerators as per given numbers 75/738, 97/850, 329/564 is

LCM of Numerators i.e. for 75,97,329 is 2393475

GCF of denominators i.e. for 738,850,564 is 2.

Thus, LCM of Fractions is 2393475/2.Finally, LCM of Fractions for 75/738, 97/850, 329/564 is 2393475/2.