Least Common Multiple of 428/61, 328/21, 246/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/61, 328/21, 246/860 quickly i.e. 105288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/61, 328/21, 246/860 is 105288.

LCM(428/61, 328/21, 246/860) = 105288

LCM of 428/61, 328/21, 246/860

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 428/61,328/21,246/860

Given numbers are 428/61,328/21,246/860

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 428,328,246

Least Common Multiple of Numerators i.e. LCM of 428,328,246 is 105288.

GCF of Denominators means GCF of 61,21,860 as per the given fractions.

GCF of 61,21,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,328,246

LCM of Fractions 428/61,328/21,246/860 is 105288

2 428, 328, 246
2 214, 164, 123
41 107, 82, 123
107, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 41 x 107 x 2 x 3 = 105288

Least Common Multiple of 428,328,246 with GCF Formula

Least Common Multiple of 428,328,246 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 428,328,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,328,246) = 2

common factors(in case of two or more numbers have common factors) = 164

GCF(428,328,246) x common factors =2 x 164 = 328

LCM(428,328,246) = ( 428 × 328 × 246 ) / 328

LCM(428,328,246) = 34534464 / 328

LCM(428,328,246) = 105288


Lets's calculate GCF of 61,21,860

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105288/1

Therefore the LCM of Fractions 428/61,328/21,246/860 is 105288

Greatest Common Factor of 61,21,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,21,860 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 61,21,860 . The biggest common factor number is the GCF number.
So the greatest common factor 61,21,860 is 1.


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 428/61, 328/21, 246/860

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 428/61, 328/21, 246/860?

Answer: LCM of Numerators as per given numbers 428/61, 328/21, 246/860 is

LCM of Numerators i.e. for 428,328,246 is 105288

GCF of denominators i.e. for 61,21,860 is 1.

Thus, LCM of Fractions is 105288.Finally, LCM of Fractions for 428/61, 328/21, 246/860 is 105288.