Least Common Multiple of 459/40, 149/35, 305/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/40, 149/35, 305/725 quickly i.e. 4171851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/40, 149/35, 305/725 is 4171851.

LCM(459/40, 149/35, 305/725) = 4171851

LCM of 459/40, 149/35, 305/725

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 459/40,149/35,305/725

Given numbers are 459/40,149/35,305/725

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 459,149,305

Least Common Multiple of Numerators i.e. LCM of 459,149,305 is 20859255.

GCF of Denominators means GCF of 40,35,725 as per the given fractions.

GCF of 40,35,725 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,149,305

LCM of Fractions 459/40,149/35,305/725 is 4171851

Given numbers has no common factors except 1. So, there LCM is their product i.e 20859255

Least Common Multiple of 459,149,305 with GCF Formula

Least Common Multiple of 459,149,305 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 459,149,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,149,305) = 1

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

GCF(459,149,305) x common factors =1 x 1 = 1

LCM(459,149,305) = ( 459 × 149 × 305 ) / 1

LCM(459,149,305) = 20859255 / 1

LCM(459,149,305) = 20859255


Lets's calculate GCF of 40,35,725

5 40, 35, 725
8, 7, 145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20859255/5

Therefore the LCM of Fractions 459/40,149/35,305/725 is 4171851

Greatest Common Factor of 40,35,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,35,725 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 725

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

1,5,25,29,145,725

Greatest Common Factor

We found the factors 40,35,725 . The biggest common factor number is the GCF number.
So the greatest common factor 40,35,725 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 459/40, 149/35, 305/725

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 459/40, 149/35, 305/725?

Answer: LCM of Numerators as per given numbers 459/40, 149/35, 305/725 is

LCM of Numerators i.e. for 459,149,305 is 20859255

GCF of denominators i.e. for 40,35,725 is 5.

Thus, LCM of Fractions is 4171851.Finally, LCM of Fractions for 459/40, 149/35, 305/725 is 4171851.