Least Common Multiple of 86/740, 26/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/740, 26/798 quickly i.e. 559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/740, 26/798 is 559.

LCM(86/740, 26/798) = 559

LCM of 86/740, 26/798

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 86/740,26/798

Given numbers are 86/740,26/798

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 86,26

Least Common Multiple of Numerators i.e. LCM of 86,26 is 1118.

GCF of Denominators means GCF of 740,798 as per the given fractions.

GCF of 740,798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,26

LCM of Fractions 86/740,26/798 is 559

2 86, 26
43, 13

∴ So the LCM of the given numbers is 2 x 43 x 13 = 1118

Least Common Multiple of 86,26 with GCF Formula

Least Common Multiple of 86,26 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 86,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,26) = 2

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

GCF(86,26) x common factors =2 x 1 = 2

LCM(86,26) = ( 86 × 26 ) / 2

LCM(86,26) = 2236 / 2

LCM(86,26) = 1118


Lets's calculate GCF of 740,798

2 740, 798
370, 399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1118/2

Therefore the LCM of Fractions 86/740,26/798 is 559

Greatest Common Factor of 740,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,798 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 740,798 . The biggest common factor number is the GCF number.
So the greatest common factor 740,798 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 86/740, 26/798

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 86/740, 26/798?

Answer: LCM of Numerators as per given numbers 86/740, 26/798 is

LCM of Numerators i.e. for 86,26 is 1118

GCF of denominators i.e. for 740,798 is 2.

Thus, LCM of Fractions is 559.Finally, LCM of Fractions for 86/740, 26/798 is 559.