Least Common Multiple of 614/462, 8172/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/462, 8172/309 quickly i.e. 836268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/462, 8172/309 is 836268.

LCM(614/462, 8172/309) = 836268

LCM of 614/462, 8172/309

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 614/462,8172/309

Given numbers are 614/462,8172/309

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 614,8172

Least Common Multiple of Numerators i.e. LCM of 614,8172 is 2508804.

GCF of Denominators means GCF of 462,309 as per the given fractions.

GCF of 462,309 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,8172

LCM of Fractions 614/462,8172/309 is 836268

2 614, 8172
307, 4086

∴ So the LCM of the given numbers is 2 x 307 x 4086 = 2508804

Least Common Multiple of 614,8172 with GCF Formula

Least Common Multiple of 614,8172 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 614,8172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,8172) = 2

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

GCF(614,8172) x common factors =2 x 1 = 2

LCM(614,8172) = ( 614 × 8172 ) / 2

LCM(614,8172) = 5017608 / 2

LCM(614,8172) = 2508804


Lets's calculate GCF of 462,309

3 462, 309
154, 103

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2508804/3

Therefore the LCM of Fractions 614/462,8172/309 is 836268

Greatest Common Factor of 462,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,309 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 462,309 . The biggest common factor number is the GCF number.
So the greatest common factor 462,309 is 3.


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 614/462, 8172/309

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 614/462, 8172/309?

Answer: LCM of Numerators as per given numbers 614/462, 8172/309 is

LCM of Numerators i.e. for 614,8172 is 2508804

GCF of denominators i.e. for 462,309 is 3.

Thus, LCM of Fractions is 836268.Finally, LCM of Fractions for 614/462, 8172/309 is 836268.