Least Common Multiple of 313/119, 5800/8258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 313/119, 5800/8258 quickly i.e. 1815400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/119, 5800/8258 is 1815400.

LCM(313/119, 5800/8258) = 1815400

LCM of 313/119, 5800/8258

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 313/119,5800/8258

Given numbers are 313/119,5800/8258

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 313,5800

Least Common Multiple of Numerators i.e. LCM of 313,5800 is 1815400.

GCF of Denominators means GCF of 119,8258 as per the given fractions.

GCF of 119,8258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,5800

LCM of Fractions 313/119,5800/8258 is 1815400

Given numbers has no common factors except 1. So, there LCM is their product i.e 1815400

Least Common Multiple of 313,5800 with GCF Formula

Least Common Multiple of 313,5800 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 313,5800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,5800) = 1

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

GCF(313,5800) x common factors =1 x 1 = 1

LCM(313,5800) = ( 313 × 5800 ) / 1

LCM(313,5800) = 1815400 / 1

LCM(313,5800) = 1815400


Lets's calculate GCF of 119,8258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1815400/1

Therefore the LCM of Fractions 313/119,5800/8258 is 1815400

Greatest Common Factor of 119,8258 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,8258 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 8258

List of positive integer factors of 8258 that divides 8258 without a remainder.

1,2,4129,8258

Greatest Common Factor

We found the factors 119,8258 . The biggest common factor number is the GCF number.
So the greatest common factor 119,8258 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 313/119, 5800/8258

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 313/119, 5800/8258?

Answer: LCM of Numerators as per given numbers 313/119, 5800/8258 is

LCM of Numerators i.e. for 313,5800 is 1815400

GCF of denominators i.e. for 119,8258 is 1.

Thus, LCM of Fractions is 1815400.Finally, LCM of Fractions for 313/119, 5800/8258 is 1815400.