Least Common Multiple of 86/759, 7146/1026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/759, 7146/1026 quickly i.e. 102426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/759, 7146/1026 is 102426.

LCM(86/759, 7146/1026) = 102426

LCM of 86/759, 7146/1026

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 86/759,7146/1026

Given numbers are 86/759,7146/1026

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 86,7146

Least Common Multiple of Numerators i.e. LCM of 86,7146 is 307278.

GCF of Denominators means GCF of 759,1026 as per the given fractions.

GCF of 759,1026 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,7146

LCM of Fractions 86/759,7146/1026 is 102426

2 86, 7146
43, 3573

∴ So the LCM of the given numbers is 2 x 43 x 3573 = 307278

Least Common Multiple of 86,7146 with GCF Formula

Least Common Multiple of 86,7146 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 86,7146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,7146) = 2

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

GCF(86,7146) x common factors =2 x 1 = 2

LCM(86,7146) = ( 86 × 7146 ) / 2

LCM(86,7146) = 614556 / 2

LCM(86,7146) = 307278


Lets's calculate GCF of 759,1026

3 759, 1026
253, 342

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307278/3

Therefore the LCM of Fractions 86/759,7146/1026 is 102426

Greatest Common Factor of 759,1026 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,1026 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 1026

List of positive integer factors of 1026 that divides 1026 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,114,171,342,513,1026

Greatest Common Factor

We found the factors 759,1026 . The biggest common factor number is the GCF number.
So the greatest common factor 759,1026 is 3.


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 86/759, 7146/1026

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 86/759, 7146/1026?

Answer: LCM of Numerators as per given numbers 86/759, 7146/1026 is

LCM of Numerators i.e. for 86,7146 is 307278

GCF of denominators i.e. for 759,1026 is 3.

Thus, LCM of Fractions is 102426.Finally, LCM of Fractions for 86/759, 7146/1026 is 102426.