Least Common Multiple of 975/72, 303/1100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/72, 303/1100 quickly i.e. 98475/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/72, 303/1100 is 98475/4.

LCM(975/72, 303/1100) = 98475/4

LCM of 975/72, 303/1100

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 975/72,303/1100

Given numbers are 975/72,303/1100

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 975,303

Least Common Multiple of Numerators i.e. LCM of 975,303 is 98475.

GCF of Denominators means GCF of 72,1100 as per the given fractions.

GCF of 72,1100 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,303

LCM of Fractions 975/72,303/1100 is 98475/4

3 975, 303
325, 101

∴ So the LCM of the given numbers is 3 x 325 x 101 = 98475

Least Common Multiple of 975,303 with GCF Formula

Least Common Multiple of 975,303 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 975,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,303) = 3

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

GCF(975,303) x common factors =3 x 1 = 3

LCM(975,303) = ( 975 × 303 ) / 3

LCM(975,303) = 295425 / 3

LCM(975,303) = 98475


Lets's calculate GCF of 72,1100

2 72, 1100
2 36, 550
18, 275

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98475/4

Therefore the LCM of Fractions 975/72,303/1100 is 98475/4

Greatest Common Factor of 72,1100 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,1100 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 1100

List of positive integer factors of 1100 that divides 1100 without a remainder.

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Greatest Common Factor

We found the factors 72,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 72,1100 is 4.


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 975/72, 303/1100

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 975/72, 303/1100?

Answer: LCM of Numerators as per given numbers 975/72, 303/1100 is

LCM of Numerators i.e. for 975,303 is 98475

GCF of denominators i.e. for 72,1100 is 4.

Thus, LCM of Fractions is 98475/4.Finally, LCM of Fractions for 975/72, 303/1100 is 98475/4.