Least Common Multiple of 171/399, 848/672, 725/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/399, 848/672, 725/405 quickly i.e. 35043600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/399, 848/672, 725/405 is 35043600.

LCM(171/399, 848/672, 725/405) = 35043600

LCM of 171/399, 848/672, 725/405

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 171/399,848/672,725/405

Given numbers are 171/399,848/672,725/405

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 171,848,725

Least Common Multiple of Numerators i.e. LCM of 171,848,725 is 105130800.

GCF of Denominators means GCF of 399,672,405 as per the given fractions.

GCF of 399,672,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,848,725

LCM of Fractions 171/399,848/672,725/405 is 35043600

Given numbers has no common factors except 1. So, there LCM is their product i.e 105130800

Least Common Multiple of 171,848,725 with GCF Formula

Least Common Multiple of 171,848,725 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 171,848,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,848,725) = 1

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

GCF(171,848,725) x common factors =1 x 1 = 1

LCM(171,848,725) = ( 171 × 848 × 725 ) / 1

LCM(171,848,725) = 105130800 / 1

LCM(171,848,725) = 105130800


Lets's calculate GCF of 399,672,405

3 399, 672, 405
133, 224, 135

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105130800/3

Therefore the LCM of Fractions 171/399,848/672,725/405 is 35043600

Greatest Common Factor of 399,672,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,672,405 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 399,672,405 . The biggest common factor number is the GCF number.
So the greatest common factor 399,672,405 is 3.


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 171/399, 848/672, 725/405

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 171/399, 848/672, 725/405?

Answer: LCM of Numerators as per given numbers 171/399, 848/672, 725/405 is

LCM of Numerators i.e. for 171,848,725 is 105130800

GCF of denominators i.e. for 399,672,405 is 3.

Thus, LCM of Fractions is 35043600.Finally, LCM of Fractions for 171/399, 848/672, 725/405 is 35043600.