Least Common Multiple of 735/17, 434/5171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/17, 434/5171 quickly i.e. 45570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/17, 434/5171 is 45570.

LCM(735/17, 434/5171) = 45570

LCM of 735/17, 434/5171

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 735/17,434/5171

Given numbers are 735/17,434/5171

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 735,434

Least Common Multiple of Numerators i.e. LCM of 735,434 is 45570.

GCF of Denominators means GCF of 17,5171 as per the given fractions.

GCF of 17,5171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,434

LCM of Fractions 735/17,434/5171 is 45570

7 735, 434
105, 62

∴ So the LCM of the given numbers is 7 x 105 x 62 = 45570

Least Common Multiple of 735,434 with GCF Formula

Least Common Multiple of 735,434 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 735,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,434) = 7

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

GCF(735,434) x common factors =7 x 1 = 7

LCM(735,434) = ( 735 × 434 ) / 7

LCM(735,434) = 318990 / 7

LCM(735,434) = 45570


Lets's calculate GCF of 17,5171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45570/1

Therefore the LCM of Fractions 735/17,434/5171 is 45570

Greatest Common Factor of 17,5171 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,5171 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 5171

List of positive integer factors of 5171 that divides 5171 without a remainder.

1,5171

Greatest Common Factor

We found the factors 17,5171 . The biggest common factor number is the GCF number.
So the greatest common factor 17,5171 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 735/17, 434/5171

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 735/17, 434/5171?

Answer: LCM of Numerators as per given numbers 735/17, 434/5171 is

LCM of Numerators i.e. for 735,434 is 45570

GCF of denominators i.e. for 17,5171 is 1.

Thus, LCM of Fractions is 45570.Finally, LCM of Fractions for 735/17, 434/5171 is 45570.