Least Common Multiple of 175/78, 577/27, 324/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/78, 577/27, 324/774 quickly i.e. 10905300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/78, 577/27, 324/774 is 10905300.

LCM(175/78, 577/27, 324/774) = 10905300

LCM of 175/78, 577/27, 324/774

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 175/78,577/27,324/774

Given numbers are 175/78,577/27,324/774

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 175,577,324

Least Common Multiple of Numerators i.e. LCM of 175,577,324 is 32715900.

GCF of Denominators means GCF of 78,27,774 as per the given fractions.

GCF of 78,27,774 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,577,324

LCM of Fractions 175/78,577/27,324/774 is 10905300

Given numbers has no common factors except 1. So, there LCM is their product i.e 32715900

Least Common Multiple of 175,577,324 with GCF Formula

Least Common Multiple of 175,577,324 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 175,577,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,577,324) = 1

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

GCF(175,577,324) x common factors =1 x 1 = 1

LCM(175,577,324) = ( 175 × 577 × 324 ) / 1

LCM(175,577,324) = 32715900 / 1

LCM(175,577,324) = 32715900


Lets's calculate GCF of 78,27,774

3 78, 27, 774
26, 9, 258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32715900/3

Therefore the LCM of Fractions 175/78,577/27,324/774 is 10905300

Greatest Common Factor of 78,27,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,27,774 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 78,27,774 . The biggest common factor number is the GCF number.
So the greatest common factor 78,27,774 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 175/78, 577/27, 324/774

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 175/78, 577/27, 324/774?

Answer: LCM of Numerators as per given numbers 175/78, 577/27, 324/774 is

LCM of Numerators i.e. for 175,577,324 is 32715900

GCF of denominators i.e. for 78,27,774 is 3.

Thus, LCM of Fractions is 10905300.Finally, LCM of Fractions for 175/78, 577/27, 324/774 is 10905300.