Least Common Multiple of 75/828, 9058/7251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/828, 9058/7251 quickly i.e. 226450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/828, 9058/7251 is 226450.

LCM(75/828, 9058/7251) = 226450

LCM of 75/828, 9058/7251

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 75/828,9058/7251

Given numbers are 75/828,9058/7251

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 75,9058

Least Common Multiple of Numerators i.e. LCM of 75,9058 is 679350.

GCF of Denominators means GCF of 828,7251 as per the given fractions.

GCF of 828,7251 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,9058

LCM of Fractions 75/828,9058/7251 is 226450

Given numbers has no common factors except 1. So, there LCM is their product i.e 679350

Least Common Multiple of 75,9058 with GCF Formula

Least Common Multiple of 75,9058 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 75,9058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,9058) = 1

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

GCF(75,9058) x common factors =1 x 1 = 1

LCM(75,9058) = ( 75 × 9058 ) / 1

LCM(75,9058) = 679350 / 1

LCM(75,9058) = 679350


Lets's calculate GCF of 828,7251

3 828, 7251
276, 2417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 679350/3

Therefore the LCM of Fractions 75/828,9058/7251 is 226450

Greatest Common Factor of 828,7251 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,7251 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 7251

List of positive integer factors of 7251 that divides 7251 without a remainder.

1,3,2417,7251

Greatest Common Factor

We found the factors 828,7251 . The biggest common factor number is the GCF number.
So the greatest common factor 828,7251 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 75/828, 9058/7251

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 75/828, 9058/7251?

Answer: LCM of Numerators as per given numbers 75/828, 9058/7251 is

LCM of Numerators i.e. for 75,9058 is 679350

GCF of denominators i.e. for 828,7251 is 3.

Thus, LCM of Fractions is 226450.Finally, LCM of Fractions for 75/828, 9058/7251 is 226450.