Least Common Multiple of 366/546, 691/506, 801/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 366/546, 691/506, 801/306 quickly i.e. 33762951 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 366/546, 691/506, 801/306 is 33762951.

LCM(366/546, 691/506, 801/306) = 33762951

LCM of 366/546, 691/506, 801/306

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 366/546,691/506,801/306

Given numbers are 366/546,691/506,801/306

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 366,691,801

Least Common Multiple of Numerators i.e. LCM of 366,691,801 is 67525902.

GCF of Denominators means GCF of 546,506,306 as per the given fractions.

GCF of 546,506,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 366,691,801

LCM of Fractions 366/546,691/506,801/306 is 33762951

3 366, 691, 801
122, 691, 267

∴ So the LCM of the given numbers is 3 x 122 x 691 x 267 = 67525902

Least Common Multiple of 366,691,801 with GCF Formula

Least Common Multiple of 366,691,801 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 366,691,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,691,801) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(366,691,801) x common factors =1 x 3 = 3

LCM(366,691,801) = ( 366 × 691 × 801 ) / 3

LCM(366,691,801) = 202577706 / 3

LCM(366,691,801) = 67525902


Lets's calculate GCF of 546,506,306

2 546, 506, 306
273, 253, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67525902/2

Therefore the LCM of Fractions 366/546,691/506,801/306 is 33762951

Greatest Common Factor of 546,506,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,506,306 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

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

Greatest Common Factor

We found the factors 546,506,306 . The biggest common factor number is the GCF number.
So the greatest common factor 546,506,306 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 366/546, 691/506, 801/306

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 366/546, 691/506, 801/306?

Answer: LCM of Numerators as per given numbers 366/546, 691/506, 801/306 is

LCM of Numerators i.e. for 366,691,801 is 67525902

GCF of denominators i.e. for 546,506,306 is 2.

Thus, LCM of Fractions is 33762951.Finally, LCM of Fractions for 366/546, 691/506, 801/306 is 33762951.