Least Common Multiple of 313/674, 313/727, 468/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/674, 313/727, 468/958 quickly i.e. 146484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/674, 313/727, 468/958 is 146484.

LCM(313/674, 313/727, 468/958) = 146484

LCM of 313/674, 313/727, 468/958

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 313/674,313/727,468/958

Given numbers are 313/674,313/727,468/958

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 313,313,468

Least Common Multiple of Numerators i.e. LCM of 313,313,468 is 146484.

GCF of Denominators means GCF of 674,727,958 as per the given fractions.

GCF of 674,727,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,313,468

LCM of Fractions 313/674,313/727,468/958 is 146484

313 313, 313, 468
1, 1, 468

∴ So the LCM of the given numbers is 313 x 1 x 1 x 468 = 146484

Least Common Multiple of 313,313,468 with GCF Formula

Least Common Multiple of 313,313,468 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 313,313,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,313,468) = 1

common factors(in case of two or more numbers have common factors) = 313

GCF(313,313,468) x common factors =1 x 313 = 313

LCM(313,313,468) = ( 313 × 313 × 468 ) / 313

LCM(313,313,468) = 45849492 / 313

LCM(313,313,468) = 146484


Lets's calculate GCF of 674,727,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146484/1

Therefore the LCM of Fractions 313/674,313/727,468/958 is 146484

Greatest Common Factor of 674,727,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,727,958 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 727

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

1,727

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 674,727,958 . The biggest common factor number is the GCF number.
So the greatest common factor 674,727,958 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 313/674, 313/727, 468/958

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 313/674, 313/727, 468/958?

Answer: LCM of Numerators as per given numbers 313/674, 313/727, 468/958 is

LCM of Numerators i.e. for 313,313,468 is 146484

GCF of denominators i.e. for 674,727,958 is 1.

Thus, LCM of Fractions is 146484.Finally, LCM of Fractions for 313/674, 313/727, 468/958 is 146484.