Least Common Multiple of 82/535, 57/408, 157/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/535, 57/408, 157/434 quickly i.e. 733818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/535, 57/408, 157/434 is 733818.

LCM(82/535, 57/408, 157/434) = 733818

LCM of 82/535, 57/408, 157/434

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 82/535,57/408,157/434

Given numbers are 82/535,57/408,157/434

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 82,57,157

Least Common Multiple of Numerators i.e. LCM of 82,57,157 is 733818.

GCF of Denominators means GCF of 535,408,434 as per the given fractions.

GCF of 535,408,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,57,157

LCM of Fractions 82/535,57/408,157/434 is 733818

Given numbers has no common factors except 1. So, there LCM is their product i.e 733818

Least Common Multiple of 82,57,157 with GCF Formula

Least Common Multiple of 82,57,157 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 82,57,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,57,157) = 1

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

GCF(82,57,157) x common factors =1 x 1 = 1

LCM(82,57,157) = ( 82 × 57 × 157 ) / 1

LCM(82,57,157) = 733818 / 1

LCM(82,57,157) = 733818


Lets's calculate GCF of 535,408,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 733818/1

Therefore the LCM of Fractions 82/535,57/408,157/434 is 733818

Greatest Common Factor of 535,408,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,408,434 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 535,408,434 . The biggest common factor number is the GCF number.
So the greatest common factor 535,408,434 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 82/535, 57/408, 157/434

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 82/535, 57/408, 157/434?

Answer: LCM of Numerators as per given numbers 82/535, 57/408, 157/434 is

LCM of Numerators i.e. for 82,57,157 is 733818

GCF of denominators i.e. for 535,408,434 is 1.

Thus, LCM of Fractions is 733818.Finally, LCM of Fractions for 82/535, 57/408, 157/434 is 733818.