Least Common Multiple of 313/74, 719/65, 971/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/74, 719/65, 971/230 quickly i.e. 218520637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/74, 719/65, 971/230 is 218520637.

LCM(313/74, 719/65, 971/230) = 218520637

LCM of 313/74, 719/65, 971/230

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 313/74,719/65,971/230

Given numbers are 313/74,719/65,971/230

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 313,719,971

Least Common Multiple of Numerators i.e. LCM of 313,719,971 is 218520637.

GCF of Denominators means GCF of 74,65,230 as per the given fractions.

GCF of 74,65,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,719,971

LCM of Fractions 313/74,719/65,971/230 is 218520637

Given numbers has no common factors except 1. So, there LCM is their product i.e 218520637

Least Common Multiple of 313,719,971 with GCF Formula

Least Common Multiple of 313,719,971 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 313,719,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,719,971) = 1

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

GCF(313,719,971) x common factors =1 x 1 = 1

LCM(313,719,971) = ( 313 × 719 × 971 ) / 1

LCM(313,719,971) = 218520637 / 1

LCM(313,719,971) = 218520637


Lets's calculate GCF of 74,65,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218520637/1

Therefore the LCM of Fractions 313/74,719/65,971/230 is 218520637

Greatest Common Factor of 74,65,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,65,230 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 74,65,230 . The biggest common factor number is the GCF number.
So the greatest common factor 74,65,230 is 1.


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 313/74, 719/65, 971/230

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 313/74, 719/65, 971/230?

Answer: LCM of Numerators as per given numbers 313/74, 719/65, 971/230 is

LCM of Numerators i.e. for 313,719,971 is 218520637

GCF of denominators i.e. for 74,65,230 is 1.

Thus, LCM of Fractions is 218520637.Finally, LCM of Fractions for 313/74, 719/65, 971/230 is 218520637.