Least Common Multiple of 75/807, 9051/9750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/807, 9051/9750 quickly i.e. 75425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/807, 9051/9750 is 75425.

LCM(75/807, 9051/9750) = 75425

LCM of 75/807, 9051/9750

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 75/807,9051/9750

Given numbers are 75/807,9051/9750

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 75,9051

Least Common Multiple of Numerators i.e. LCM of 75,9051 is 226275.

GCF of Denominators means GCF of 807,9750 as per the given fractions.

GCF of 807,9750 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,9051

LCM of Fractions 75/807,9051/9750 is 75425

3 75, 9051
25, 3017

∴ So the LCM of the given numbers is 3 x 25 x 3017 = 226275

Least Common Multiple of 75,9051 with GCF Formula

Least Common Multiple of 75,9051 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 75,9051 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,9051) = 3

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

GCF(75,9051) x common factors =3 x 1 = 3

LCM(75,9051) = ( 75 × 9051 ) / 3

LCM(75,9051) = 678825 / 3

LCM(75,9051) = 226275


Lets's calculate GCF of 807,9750

3 807, 9750
269, 3250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226275/3

Therefore the LCM of Fractions 75/807,9051/9750 is 75425

Greatest Common Factor of 807,9750 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,9750 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 9750

List of positive integer factors of 9750 that divides 9750 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750

Greatest Common Factor

We found the factors 807,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 807,9750 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 75/807, 9051/9750

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 75/807, 9051/9750?

Answer: LCM of Numerators as per given numbers 75/807, 9051/9750 is

LCM of Numerators i.e. for 75,9051 is 226275

GCF of denominators i.e. for 807,9750 is 3.

Thus, LCM of Fractions is 75425.Finally, LCM of Fractions for 75/807, 9051/9750 is 75425.