Least Common Multiple of 56/129, 170/152, 163/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/129, 170/152, 163/405 quickly i.e. 775880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/129, 170/152, 163/405 is 775880.

LCM(56/129, 170/152, 163/405) = 775880

LCM of 56/129, 170/152, 163/405

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 56/129,170/152,163/405

Given numbers are 56/129,170/152,163/405

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 56,170,163

Least Common Multiple of Numerators i.e. LCM of 56,170,163 is 775880.

GCF of Denominators means GCF of 129,152,405 as per the given fractions.

GCF of 129,152,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,170,163

LCM of Fractions 56/129,170/152,163/405 is 775880

2 56, 170, 163
28, 85, 163

∴ So the LCM of the given numbers is 2 x 28 x 85 x 163 = 775880

Least Common Multiple of 56,170,163 with GCF Formula

Least Common Multiple of 56,170,163 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 56,170,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,170,163) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(56,170,163) x common factors =1 x 2 = 2

LCM(56,170,163) = ( 56 × 170 × 163 ) / 2

LCM(56,170,163) = 1551760 / 2

LCM(56,170,163) = 775880


Lets's calculate GCF of 129,152,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 775880/1

Therefore the LCM of Fractions 56/129,170/152,163/405 is 775880

Greatest Common Factor of 129,152,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,152,405 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

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 129,152,405 . The biggest common factor number is the GCF number.
So the greatest common factor 129,152,405 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 56/129, 170/152, 163/405

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 56/129, 170/152, 163/405?

Answer: LCM of Numerators as per given numbers 56/129, 170/152, 163/405 is

LCM of Numerators i.e. for 56,170,163 is 775880

GCF of denominators i.e. for 129,152,405 is 1.

Thus, LCM of Fractions is 775880.Finally, LCM of Fractions for 56/129, 170/152, 163/405 is 775880.