Least Common Multiple of 86/531, 5745/7834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/531, 5745/7834 quickly i.e. 494070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/531, 5745/7834 is 494070.

LCM(86/531, 5745/7834) = 494070

LCM of 86/531, 5745/7834

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 86/531,5745/7834

Given numbers are 86/531,5745/7834

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 86,5745

Least Common Multiple of Numerators i.e. LCM of 86,5745 is 494070.

GCF of Denominators means GCF of 531,7834 as per the given fractions.

GCF of 531,7834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,5745

LCM of Fractions 86/531,5745/7834 is 494070

Given numbers has no common factors except 1. So, there LCM is their product i.e 494070

Least Common Multiple of 86,5745 with GCF Formula

Least Common Multiple of 86,5745 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 86,5745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,5745) = 1

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

GCF(86,5745) x common factors =1 x 1 = 1

LCM(86,5745) = ( 86 × 5745 ) / 1

LCM(86,5745) = 494070 / 1

LCM(86,5745) = 494070


Lets's calculate GCF of 531,7834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 494070/1

Therefore the LCM of Fractions 86/531,5745/7834 is 494070

Greatest Common Factor of 531,7834 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,7834 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 7834

List of positive integer factors of 7834 that divides 7834 without a remainder.

1,2,3917,7834

Greatest Common Factor

We found the factors 531,7834 . The biggest common factor number is the GCF number.
So the greatest common factor 531,7834 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 86/531, 5745/7834

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 86/531, 5745/7834?

Answer: LCM of Numerators as per given numbers 86/531, 5745/7834 is

LCM of Numerators i.e. for 86,5745 is 494070

GCF of denominators i.e. for 531,7834 is 1.

Thus, LCM of Fractions is 494070.Finally, LCM of Fractions for 86/531, 5745/7834 is 494070.