Least Common Multiple of 719/725, 425/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 719/725, 425/810 quickly i.e. 61115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/725, 425/810 is 61115.

LCM(719/725, 425/810) = 61115

LCM of 719/725, 425/810

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 719/725,425/810

Given numbers are 719/725,425/810

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 719,425

Least Common Multiple of Numerators i.e. LCM of 719,425 is 305575.

GCF of Denominators means GCF of 725,810 as per the given fractions.

GCF of 725,810 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,425

LCM of Fractions 719/725,425/810 is 61115

Given numbers has no common factors except 1. So, there LCM is their product i.e 305575

Least Common Multiple of 719,425 with GCF Formula

Least Common Multiple of 719,425 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 719,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,425) = 1

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

GCF(719,425) x common factors =1 x 1 = 1

LCM(719,425) = ( 719 × 425 ) / 1

LCM(719,425) = 305575 / 1

LCM(719,425) = 305575


Lets's calculate GCF of 725,810

5 725, 810
145, 162

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305575/5

Therefore the LCM of Fractions 719/725,425/810 is 61115

Greatest Common Factor of 725,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,810 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 725,810 . The biggest common factor number is the GCF number.
So the greatest common factor 725,810 is 5.


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 719/725, 425/810

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 719/725, 425/810?

Answer: LCM of Numerators as per given numbers 719/725, 425/810 is

LCM of Numerators i.e. for 719,425 is 305575

GCF of denominators i.e. for 725,810 is 5.

Thus, LCM of Fractions is 61115.Finally, LCM of Fractions for 719/725, 425/810 is 61115.