Least Common Multiple of 725/458, 734/520, 535/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 725/458, 734/520, 535/310 quickly i.e. 28470025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 725/458, 734/520, 535/310 is 28470025.

LCM(725/458, 734/520, 535/310) = 28470025

LCM of 725/458, 734/520, 535/310

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 725/458,734/520,535/310

Given numbers are 725/458,734/520,535/310

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 725,734,535

Least Common Multiple of Numerators i.e. LCM of 725,734,535 is 56940050.

GCF of Denominators means GCF of 458,520,310 as per the given fractions.

GCF of 458,520,310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 725,734,535

LCM of Fractions 725/458,734/520,535/310 is 28470025

5 725, 734, 535
145, 734, 107

∴ So the LCM of the given numbers is 5 x 145 x 734 x 107 = 56940050

Least Common Multiple of 725,734,535 with GCF Formula

Least Common Multiple of 725,734,535 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 725,734,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,734,535) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(725,734,535) x common factors =1 x 5 = 5

LCM(725,734,535) = ( 725 × 734 × 535 ) / 5

LCM(725,734,535) = 284700250 / 5

LCM(725,734,535) = 56940050


Lets's calculate GCF of 458,520,310

2 458, 520, 310
229, 260, 155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56940050/2

Therefore the LCM of Fractions 725/458,734/520,535/310 is 28470025

Greatest Common Factor of 458,520,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,520,310 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 458,520,310 . The biggest common factor number is the GCF number.
So the greatest common factor 458,520,310 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 725/458, 734/520, 535/310

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 725/458, 734/520, 535/310?

Answer: LCM of Numerators as per given numbers 725/458, 734/520, 535/310 is

LCM of Numerators i.e. for 725,734,535 is 56940050

GCF of denominators i.e. for 458,520,310 is 2.

Thus, LCM of Fractions is 28470025.Finally, LCM of Fractions for 725/458, 734/520, 535/310 is 28470025.