Least Common Multiple of 45/222, 93/748, 225/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/222, 93/748, 225/762 quickly i.e. 6975/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/222, 93/748, 225/762 is 6975/2.

LCM(45/222, 93/748, 225/762) = 6975/2

LCM of 45/222, 93/748, 225/762

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 45/222,93/748,225/762

Given numbers are 45/222,93/748,225/762

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 45,93,225

Least Common Multiple of Numerators i.e. LCM of 45,93,225 is 6975.

GCF of Denominators means GCF of 222,748,762 as per the given fractions.

GCF of 222,748,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,93,225

LCM of Fractions 45/222,93/748,225/762 is 6975/2

3 45, 93, 225
3 15, 31, 75
5 5, 31, 25
1, 31, 5

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 31 x 5 = 6975

Least Common Multiple of 45,93,225 with GCF Formula

Least Common Multiple of 45,93,225 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 45,93,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,93,225) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(45,93,225) x common factors =3 x 45 = 135

LCM(45,93,225) = ( 45 × 93 × 225 ) / 135

LCM(45,93,225) = 941625 / 135

LCM(45,93,225) = 6975


Lets's calculate GCF of 222,748,762

2 222, 748, 762
111, 374, 381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6975/2

Therefore the LCM of Fractions 45/222,93/748,225/762 is 6975/2

Greatest Common Factor of 222,748,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,748,762 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 222,748,762 . The biggest common factor number is the GCF number.
So the greatest common factor 222,748,762 is 2.


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 45/222, 93/748, 225/762

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 45/222, 93/748, 225/762?

Answer: LCM of Numerators as per given numbers 45/222, 93/748, 225/762 is

LCM of Numerators i.e. for 45,93,225 is 6975

GCF of denominators i.e. for 222,748,762 is 2.

Thus, LCM of Fractions is 6975/2.Finally, LCM of Fractions for 45/222, 93/748, 225/762 is 6975/2.