Least Common Multiple of 75/728, 538/829, 847/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/728, 538/829, 847/245 quickly i.e. 34176450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/728, 538/829, 847/245 is 34176450.

LCM(75/728, 538/829, 847/245) = 34176450

LCM of 75/728, 538/829, 847/245

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 75/728,538/829,847/245

Given numbers are 75/728,538/829,847/245

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 75,538,847

Least Common Multiple of Numerators i.e. LCM of 75,538,847 is 34176450.

GCF of Denominators means GCF of 728,829,245 as per the given fractions.

GCF of 728,829,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,538,847

LCM of Fractions 75/728,538/829,847/245 is 34176450

Given numbers has no common factors except 1. So, there LCM is their product i.e 34176450

Least Common Multiple of 75,538,847 with GCF Formula

Least Common Multiple of 75,538,847 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 75,538,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,538,847) = 1

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

GCF(75,538,847) x common factors =1 x 1 = 1

LCM(75,538,847) = ( 75 × 538 × 847 ) / 1

LCM(75,538,847) = 34176450 / 1

LCM(75,538,847) = 34176450


Lets's calculate GCF of 728,829,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34176450/1

Therefore the LCM of Fractions 75/728,538/829,847/245 is 34176450

Greatest Common Factor of 728,829,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,829,245 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 728,829,245 . The biggest common factor number is the GCF number.
So the greatest common factor 728,829,245 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 75/728, 538/829, 847/245

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 75/728, 538/829, 847/245?

Answer: LCM of Numerators as per given numbers 75/728, 538/829, 847/245 is

LCM of Numerators i.e. for 75,538,847 is 34176450

GCF of denominators i.e. for 728,829,245 is 1.

Thus, LCM of Fractions is 34176450.Finally, LCM of Fractions for 75/728, 538/829, 847/245 is 34176450.