Least Common Multiple of 313/26, 267/94, 457/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/26, 267/94, 457/727 quickly i.e. 38191947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/26, 267/94, 457/727 is 38191947.

LCM(313/26, 267/94, 457/727) = 38191947

LCM of 313/26, 267/94, 457/727

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 313/26,267/94,457/727

Given numbers are 313/26,267/94,457/727

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 313,267,457

Least Common Multiple of Numerators i.e. LCM of 313,267,457 is 38191947.

GCF of Denominators means GCF of 26,94,727 as per the given fractions.

GCF of 26,94,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,267,457

LCM of Fractions 313/26,267/94,457/727 is 38191947

Given numbers has no common factors except 1. So, there LCM is their product i.e 38191947

Least Common Multiple of 313,267,457 with GCF Formula

Least Common Multiple of 313,267,457 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 313,267,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,267,457) = 1

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

GCF(313,267,457) x common factors =1 x 1 = 1

LCM(313,267,457) = ( 313 × 267 × 457 ) / 1

LCM(313,267,457) = 38191947 / 1

LCM(313,267,457) = 38191947


Lets's calculate GCF of 26,94,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38191947/1

Therefore the LCM of Fractions 313/26,267/94,457/727 is 38191947

Greatest Common Factor of 26,94,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,94,727 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 26,94,727 . The biggest common factor number is the GCF number.
So the greatest common factor 26,94,727 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 313/26, 267/94, 457/727

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 313/26, 267/94, 457/727?

Answer: LCM of Numerators as per given numbers 313/26, 267/94, 457/727 is

LCM of Numerators i.e. for 313,267,457 is 38191947

GCF of denominators i.e. for 26,94,727 is 1.

Thus, LCM of Fractions is 38191947.Finally, LCM of Fractions for 313/26, 267/94, 457/727 is 38191947.