Least Common Multiple of 758/17, 142/4472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 758/17, 142/4472 quickly i.e. 53818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 758/17, 142/4472 is 53818.

LCM(758/17, 142/4472) = 53818

LCM of 758/17, 142/4472

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 758/17,142/4472

Given numbers are 758/17,142/4472

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 758,142

Least Common Multiple of Numerators i.e. LCM of 758,142 is 53818.

GCF of Denominators means GCF of 17,4472 as per the given fractions.

GCF of 17,4472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 758,142

LCM of Fractions 758/17,142/4472 is 53818

2 758, 142
379, 71

∴ So the LCM of the given numbers is 2 x 379 x 71 = 53818

Least Common Multiple of 758,142 with GCF Formula

Least Common Multiple of 758,142 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 758,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,142) = 2

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

GCF(758,142) x common factors =2 x 1 = 2

LCM(758,142) = ( 758 × 142 ) / 2

LCM(758,142) = 107636 / 2

LCM(758,142) = 53818


Lets's calculate GCF of 17,4472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53818/1

Therefore the LCM of Fractions 758/17,142/4472 is 53818

Greatest Common Factor of 17,4472 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,4472 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 4472

List of positive integer factors of 4472 that divides 4472 without a remainder.

1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472

Greatest Common Factor

We found the factors 17,4472 . The biggest common factor number is the GCF number.
So the greatest common factor 17,4472 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 758/17, 142/4472

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 758/17, 142/4472?

Answer: LCM of Numerators as per given numbers 758/17, 142/4472 is

LCM of Numerators i.e. for 758,142 is 53818

GCF of denominators i.e. for 17,4472 is 1.

Thus, LCM of Fractions is 53818.Finally, LCM of Fractions for 758/17, 142/4472 is 53818.