Least Common Multiple of 225/59, 725/78, 810/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 225/59, 725/78, 810/858 quickly i.e. 117450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 225/59, 725/78, 810/858 is 117450.

LCM(225/59, 725/78, 810/858) = 117450

LCM of 225/59, 725/78, 810/858

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 225/59,725/78,810/858

Given numbers are 225/59,725/78,810/858

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 225,725,810

Least Common Multiple of Numerators i.e. LCM of 225,725,810 is 117450.

GCF of Denominators means GCF of 59,78,858 as per the given fractions.

GCF of 59,78,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 225,725,810

LCM of Fractions 225/59,725/78,810/858 is 117450

3 225, 725, 810
3 75, 725, 270
5 25, 725, 90
5 5, 145, 18
1, 29, 18

∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 1 x 29 x 18 = 117450

Least Common Multiple of 225,725,810 with GCF Formula

Least Common Multiple of 225,725,810 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 225,725,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,725,810) = 5

common factors(in case of two or more numbers have common factors) = 225

GCF(225,725,810) x common factors =5 x 225 = 1125

LCM(225,725,810) = ( 225 × 725 × 810 ) / 1125

LCM(225,725,810) = 132131250 / 1125

LCM(225,725,810) = 117450


Lets's calculate GCF of 59,78,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117450/1

Therefore the LCM of Fractions 225/59,725/78,810/858 is 117450

Greatest Common Factor of 59,78,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,78,858 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 59,78,858 . The biggest common factor number is the GCF number.
So the greatest common factor 59,78,858 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 225/59, 725/78, 810/858

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 225/59, 725/78, 810/858?

Answer: LCM of Numerators as per given numbers 225/59, 725/78, 810/858 is

LCM of Numerators i.e. for 225,725,810 is 117450

GCF of denominators i.e. for 59,78,858 is 1.

Thus, LCM of Fractions is 117450.Finally, LCM of Fractions for 225/59, 725/78, 810/858 is 117450.