Least Common Multiple of 61/390, 93/554, 246/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/390, 93/554, 246/440 quickly i.e. 232593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/390, 93/554, 246/440 is 232593.

LCM(61/390, 93/554, 246/440) = 232593

LCM of 61/390, 93/554, 246/440

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 61/390,93/554,246/440

Given numbers are 61/390,93/554,246/440

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 61,93,246

Least Common Multiple of Numerators i.e. LCM of 61,93,246 is 465186.

GCF of Denominators means GCF of 390,554,440 as per the given fractions.

GCF of 390,554,440 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,93,246

LCM of Fractions 61/390,93/554,246/440 is 232593

3 61, 93, 246
61, 31, 82

∴ So the LCM of the given numbers is 3 x 61 x 31 x 82 = 465186

Least Common Multiple of 61,93,246 with GCF Formula

Least Common Multiple of 61,93,246 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 61,93,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,93,246) = 1

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

GCF(61,93,246) x common factors =1 x 3 = 3

LCM(61,93,246) = ( 61 × 93 × 246 ) / 3

LCM(61,93,246) = 1395558 / 3

LCM(61,93,246) = 465186


Lets's calculate GCF of 390,554,440

2 390, 554, 440
195, 277, 220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465186/2

Therefore the LCM of Fractions 61/390,93/554,246/440 is 232593

Greatest Common Factor of 390,554,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,554,440 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 390,554,440 . The biggest common factor number is the GCF number.
So the greatest common factor 390,554,440 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 61/390, 93/554, 246/440

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 61/390, 93/554, 246/440?

Answer: LCM of Numerators as per given numbers 61/390, 93/554, 246/440 is

LCM of Numerators i.e. for 61,93,246 is 465186

GCF of denominators i.e. for 390,554,440 is 2.

Thus, LCM of Fractions is 232593.Finally, LCM of Fractions for 61/390, 93/554, 246/440 is 232593.