Least Common Multiple of 494/312, 4062/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/312, 4062/804 quickly i.e. 1003314/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/312, 4062/804 is 1003314/12.

LCM(494/312, 4062/804) = 1003314/12

LCM of 494/312, 4062/804

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 494/312,4062/804

Given numbers are 494/312,4062/804

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 494,4062

Least Common Multiple of Numerators i.e. LCM of 494,4062 is 1003314.

GCF of Denominators means GCF of 312,804 as per the given fractions.

GCF of 312,804 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,4062

LCM of Fractions 494/312,4062/804 is 1003314/12

2 494, 4062
247, 2031

∴ So the LCM of the given numbers is 2 x 247 x 2031 = 1003314

Least Common Multiple of 494,4062 with GCF Formula

Least Common Multiple of 494,4062 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 494,4062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,4062) = 2

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

GCF(494,4062) x common factors =2 x 1 = 2

LCM(494,4062) = ( 494 × 4062 ) / 2

LCM(494,4062) = 2006628 / 2

LCM(494,4062) = 1003314


Lets's calculate GCF of 312,804

2 312, 804
2 156, 402
3 78, 201
26, 67

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1003314/12

Therefore the LCM of Fractions 494/312,4062/804 is 1003314/12

Greatest Common Factor of 312,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,804 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 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 312,804 . The biggest common factor number is the GCF number.
So the greatest common factor 312,804 is 12.


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 494/312, 4062/804

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 494/312, 4062/804?

Answer: LCM of Numerators as per given numbers 494/312, 4062/804 is

LCM of Numerators i.e. for 494,4062 is 1003314

GCF of denominators i.e. for 312,804 is 12.

Thus, LCM of Fractions is 1003314/12.Finally, LCM of Fractions for 494/312, 4062/804 is 1003314/12.