Least Common Multiple of 6356/306, 6146/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6356/306, 6146/812 quickly i.e. 1395142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6356/306, 6146/812 is 1395142.

LCM(6356/306, 6146/812) = 1395142

LCM of 6356/306, 6146/812

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 6356/306,6146/812

Given numbers are 6356/306,6146/812

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 6356,6146

Least Common Multiple of Numerators i.e. LCM of 6356,6146 is 2790284.

GCF of Denominators means GCF of 306,812 as per the given fractions.

GCF of 306,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6356,6146

LCM of Fractions 6356/306,6146/812 is 1395142

2 6356, 6146
7 3178, 3073
454, 439

∴ So the LCM of the given numbers is 2 x 7 x 454 x 439 = 2790284

Least Common Multiple of 6356,6146 with GCF Formula

Least Common Multiple of 6356,6146 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 6356,6146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6356,6146) = 14

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

GCF(6356,6146) x common factors =14 x 1 = 14

LCM(6356,6146) = ( 6356 × 6146 ) / 14

LCM(6356,6146) = 39063976 / 14

LCM(6356,6146) = 2790284


Lets's calculate GCF of 306,812

2 306, 812
153, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2790284/2

Therefore the LCM of Fractions 6356/306,6146/812 is 1395142

Greatest Common Factor of 306,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,812 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 306,812 . The biggest common factor number is the GCF number.
So the greatest common factor 306,812 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 6356/306, 6146/812

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 6356/306, 6146/812?

Answer: LCM of Numerators as per given numbers 6356/306, 6146/812 is

LCM of Numerators i.e. for 6356,6146 is 2790284

GCF of denominators i.e. for 306,812 is 2.

Thus, LCM of Fractions is 1395142.Finally, LCM of Fractions for 6356/306, 6146/812 is 1395142.