Least Common Multiple of 313/86, 826/1488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/86, 826/1488 quickly i.e. 129269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/86, 826/1488 is 129269.

LCM(313/86, 826/1488) = 129269

LCM of 313/86, 826/1488

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 313/86,826/1488

Given numbers are 313/86,826/1488

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 313,826

Least Common Multiple of Numerators i.e. LCM of 313,826 is 258538.

GCF of Denominators means GCF of 86,1488 as per the given fractions.

GCF of 86,1488 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,826

LCM of Fractions 313/86,826/1488 is 129269

Given numbers has no common factors except 1. So, there LCM is their product i.e 258538

Least Common Multiple of 313,826 with GCF Formula

Least Common Multiple of 313,826 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 313,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,826) = 1

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

GCF(313,826) x common factors =1 x 1 = 1

LCM(313,826) = ( 313 × 826 ) / 1

LCM(313,826) = 258538 / 1

LCM(313,826) = 258538


Lets's calculate GCF of 86,1488

2 86, 1488
43, 744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258538/2

Therefore the LCM of Fractions 313/86,826/1488 is 129269

Greatest Common Factor of 86,1488 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,1488 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488

Greatest Common Factor

We found the factors 86,1488 . The biggest common factor number is the GCF number.
So the greatest common factor 86,1488 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 313/86, 826/1488

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 313/86, 826/1488?

Answer: LCM of Numerators as per given numbers 313/86, 826/1488 is

LCM of Numerators i.e. for 313,826 is 258538

GCF of denominators i.e. for 86,1488 is 2.

Thus, LCM of Fractions is 129269.Finally, LCM of Fractions for 313/86, 826/1488 is 129269.