Least Common Multiple of 64/465, 90/111, 725/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/465, 90/111, 725/283 quickly i.e. 417600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/465, 90/111, 725/283 is 417600.

LCM(64/465, 90/111, 725/283) = 417600

LCM of 64/465, 90/111, 725/283

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 64/465,90/111,725/283

Given numbers are 64/465,90/111,725/283

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 64,90,725

Least Common Multiple of Numerators i.e. LCM of 64,90,725 is 417600.

GCF of Denominators means GCF of 465,111,283 as per the given fractions.

GCF of 465,111,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,90,725

LCM of Fractions 64/465,90/111,725/283 is 417600

2 64, 90, 725
5 32, 45, 725
32, 9, 145

∴ So the LCM of the given numbers is 2 x 5 x 32 x 9 x 145 = 417600

Least Common Multiple of 64,90,725 with GCF Formula

Least Common Multiple of 64,90,725 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 64,90,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,90,725) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(64,90,725) x common factors =1 x 10 = 10

LCM(64,90,725) = ( 64 × 90 × 725 ) / 10

LCM(64,90,725) = 4176000 / 10

LCM(64,90,725) = 417600


Lets's calculate GCF of 465,111,283

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417600/1

Therefore the LCM of Fractions 64/465,90/111,725/283 is 417600

Greatest Common Factor of 465,111,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,111,283 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 465,111,283 . The biggest common factor number is the GCF number.
So the greatest common factor 465,111,283 is 1.


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 64/465, 90/111, 725/283

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 64/465, 90/111, 725/283?

Answer: LCM of Numerators as per given numbers 64/465, 90/111, 725/283 is

LCM of Numerators i.e. for 64,90,725 is 417600

GCF of denominators i.e. for 465,111,283 is 1.

Thus, LCM of Fractions is 417600.Finally, LCM of Fractions for 64/465, 90/111, 725/283 is 417600.