Least Common Multiple of 86/748, 9932/5174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/748, 9932/5174 quickly i.e. 213538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/748, 9932/5174 is 213538.

LCM(86/748, 9932/5174) = 213538

LCM of 86/748, 9932/5174

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 86/748,9932/5174

Given numbers are 86/748,9932/5174

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 86,9932

Least Common Multiple of Numerators i.e. LCM of 86,9932 is 427076.

GCF of Denominators means GCF of 748,5174 as per the given fractions.

GCF of 748,5174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,9932

LCM of Fractions 86/748,9932/5174 is 213538

2 86, 9932
43, 4966

∴ So the LCM of the given numbers is 2 x 43 x 4966 = 427076

Least Common Multiple of 86,9932 with GCF Formula

Least Common Multiple of 86,9932 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 86,9932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,9932) = 2

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

GCF(86,9932) x common factors =2 x 1 = 2

LCM(86,9932) = ( 86 × 9932 ) / 2

LCM(86,9932) = 854152 / 2

LCM(86,9932) = 427076


Lets's calculate GCF of 748,5174

2 748, 5174
374, 2587

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427076/2

Therefore the LCM of Fractions 86/748,9932/5174 is 213538

Greatest Common Factor of 748,5174 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,5174 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 5174

List of positive integer factors of 5174 that divides 5174 without a remainder.

1,2,13,26,199,398,2587,5174

Greatest Common Factor

We found the factors 748,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 748,5174 is 2.


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 86/748, 9932/5174

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 86/748, 9932/5174?

Answer: LCM of Numerators as per given numbers 86/748, 9932/5174 is

LCM of Numerators i.e. for 86,9932 is 427076

GCF of denominators i.e. for 748,5174 is 2.

Thus, LCM of Fractions is 213538.Finally, LCM of Fractions for 86/748, 9932/5174 is 213538.