Least Common Multiple of 313/92, 382/10, 403/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/92, 382/10, 403/590 quickly i.e. 24092549 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/92, 382/10, 403/590 is 24092549.

LCM(313/92, 382/10, 403/590) = 24092549

LCM of 313/92, 382/10, 403/590

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 313/92,382/10,403/590

Given numbers are 313/92,382/10,403/590

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 313,382,403

Least Common Multiple of Numerators i.e. LCM of 313,382,403 is 48185098.

GCF of Denominators means GCF of 92,10,590 as per the given fractions.

GCF of 92,10,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,382,403

LCM of Fractions 313/92,382/10,403/590 is 24092549

Given numbers has no common factors except 1. So, there LCM is their product i.e 48185098

Least Common Multiple of 313,382,403 with GCF Formula

Least Common Multiple of 313,382,403 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 313,382,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,382,403) = 1

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

GCF(313,382,403) x common factors =1 x 1 = 1

LCM(313,382,403) = ( 313 × 382 × 403 ) / 1

LCM(313,382,403) = 48185098 / 1

LCM(313,382,403) = 48185098


Lets's calculate GCF of 92,10,590

2 92, 10, 590
46, 5, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48185098/2

Therefore the LCM of Fractions 313/92,382/10,403/590 is 24092549

Greatest Common Factor of 92,10,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,10,590 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 92,10,590 . The biggest common factor number is the GCF number.
So the greatest common factor 92,10,590 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 313/92, 382/10, 403/590

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 313/92, 382/10, 403/590?

Answer: LCM of Numerators as per given numbers 313/92, 382/10, 403/590 is

LCM of Numerators i.e. for 313,382,403 is 48185098

GCF of denominators i.e. for 92,10,590 is 2.

Thus, LCM of Fractions is 24092549.Finally, LCM of Fractions for 313/92, 382/10, 403/590 is 24092549.