Least Common Multiple of 61/28, 86/46, 36/52, 60/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/28, 86/46, 36/52, 60/282 quickly i.e. 236070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/28, 86/46, 36/52, 60/282 is 236070.

LCM(61/28, 86/46, 36/52, 60/282) = 236070

LCM of 61/28, 86/46, 36/52, 60/282

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 61/28,86/46,36/52,60/282

Given numbers are 61/28,86/46,36/52,60/282

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 61,86,36,60

Least Common Multiple of Numerators i.e. LCM of 61,86,36,60 is 472140.

GCF of Denominators means GCF of 28,46,52,282 as per the given fractions.

GCF of 28,46,52,282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,86,36,60

LCM of Fractions 61/28,86/46,36/52,60/282 is 236070

2 61, 86, 36, 60
2 61, 43, 18, 30
3 61, 43, 9, 15
61, 43, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 43 x 3 x 5 = 472140

Least Common Multiple of 61,86,36,60 with GCF Formula

Least Common Multiple of 61,86,36,60 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 61,86,36,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,86,36,60) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(61,86,36,60) x common factors =1 x 24 = 24

LCM(61,86,36,60) = ( 61 × 86 × 36 × 60 ) / 24

LCM(61,86,36,60) = 11331360 / 24

LCM(61,86,36,60) = 472140


Lets's calculate GCF of 28,46,52,282

2 28, 46, 52, 282
14, 23, 26, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472140/2

Therefore the LCM of Fractions 61/28,86/46,36/52,60/282 is 236070

Greatest Common Factor of 28,46,52,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,46,52,282 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 28,46,52,282 . The biggest common factor number is the GCF number.
So the greatest common factor 28,46,52,282 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 61/28, 86/46, 36/52, 60/282

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 61/28, 86/46, 36/52, 60/282?

Answer: LCM of Numerators as per given numbers 61/28, 86/46, 36/52, 60/282 is

LCM of Numerators i.e. for 61,86,36,60 is 472140

GCF of denominators i.e. for 28,46,52,282 is 2.

Thus, LCM of Fractions is 236070.Finally, LCM of Fractions for 61/28, 86/46, 36/52, 60/282 is 236070.