Least Common Multiple of 93/216, 450/464, 561/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/216, 450/464, 561/134 quickly i.e. 1304325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/216, 450/464, 561/134 is 1304325.

LCM(93/216, 450/464, 561/134) = 1304325

LCM of 93/216, 450/464, 561/134

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 93/216,450/464,561/134

Given numbers are 93/216,450/464,561/134

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 93,450,561

Least Common Multiple of Numerators i.e. LCM of 93,450,561 is 2608650.

GCF of Denominators means GCF of 216,464,134 as per the given fractions.

GCF of 216,464,134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,450,561

LCM of Fractions 93/216,450/464,561/134 is 1304325

3 93, 450, 561
31, 150, 187

∴ So the LCM of the given numbers is 3 x 31 x 150 x 187 = 2608650

Least Common Multiple of 93,450,561 with GCF Formula

Least Common Multiple of 93,450,561 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 93,450,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,450,561) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(93,450,561) x common factors =3 x 3 = 9

LCM(93,450,561) = ( 93 × 450 × 561 ) / 9

LCM(93,450,561) = 23477850 / 9

LCM(93,450,561) = 2608650


Lets's calculate GCF of 216,464,134

2 216, 464, 134
108, 232, 67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2608650/2

Therefore the LCM of Fractions 93/216,450/464,561/134 is 1304325

Greatest Common Factor of 216,464,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,464,134 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 216,464,134 . The biggest common factor number is the GCF number.
So the greatest common factor 216,464,134 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 93/216, 450/464, 561/134

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 93/216, 450/464, 561/134?

Answer: LCM of Numerators as per given numbers 93/216, 450/464, 561/134 is

LCM of Numerators i.e. for 93,450,561 is 2608650

GCF of denominators i.e. for 216,464,134 is 2.

Thus, LCM of Fractions is 1304325.Finally, LCM of Fractions for 93/216, 450/464, 561/134 is 1304325.