Least Common Multiple of 263/312, 5474/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 263/312, 5474/334 quickly i.e. 719831 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 263/312, 5474/334 is 719831.

LCM(263/312, 5474/334) = 719831

LCM of 263/312, 5474/334

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 263/312,5474/334

Given numbers are 263/312,5474/334

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 263,5474

Least Common Multiple of Numerators i.e. LCM of 263,5474 is 1439662.

GCF of Denominators means GCF of 312,334 as per the given fractions.

GCF of 312,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 263,5474

LCM of Fractions 263/312,5474/334 is 719831

Given numbers has no common factors except 1. So, there LCM is their product i.e 1439662

Least Common Multiple of 263,5474 with GCF Formula

Least Common Multiple of 263,5474 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 263,5474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,5474) = 1

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

GCF(263,5474) x common factors =1 x 1 = 1

LCM(263,5474) = ( 263 × 5474 ) / 1

LCM(263,5474) = 1439662 / 1

LCM(263,5474) = 1439662


Lets's calculate GCF of 312,334

2 312, 334
156, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1439662/2

Therefore the LCM of Fractions 263/312,5474/334 is 719831

Greatest Common Factor of 312,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,334 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 312,334 . The biggest common factor number is the GCF number.
So the greatest common factor 312,334 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 263/312, 5474/334

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 263/312, 5474/334?

Answer: LCM of Numerators as per given numbers 263/312, 5474/334 is

LCM of Numerators i.e. for 263,5474 is 1439662

GCF of denominators i.e. for 312,334 is 2.

Thus, LCM of Fractions is 719831.Finally, LCM of Fractions for 263/312, 5474/334 is 719831.