Least Common Multiple of 61/240, 1830/1284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/240, 1830/1284 quickly i.e. 1830/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/240, 1830/1284 is 1830/12.

LCM(61/240, 1830/1284) = 1830/12

LCM of 61/240, 1830/1284

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 61/240,1830/1284

Given numbers are 61/240,1830/1284

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 61,1830

Least Common Multiple of Numerators i.e. LCM of 61,1830 is 1830.

GCF of Denominators means GCF of 240,1284 as per the given fractions.

GCF of 240,1284 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,1830

LCM of Fractions 61/240,1830/1284 is 1830/12

61 61, 1830
1, 30

∴ So the LCM of the given numbers is 61 x 1 x 30 = 1830

Least Common Multiple of 61,1830 with GCF Formula

Least Common Multiple of 61,1830 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 61,1830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,1830) = 61

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

GCF(61,1830) x common factors =61 x 1 = 61

LCM(61,1830) = ( 61 × 1830 ) / 61

LCM(61,1830) = 111630 / 61

LCM(61,1830) = 1830


Lets's calculate GCF of 240,1284

2 240, 1284
2 120, 642
3 60, 321
20, 107

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1830/12

Therefore the LCM of Fractions 61/240,1830/1284 is 1830/12

Greatest Common Factor of 240,1284 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,1284 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 1284

List of positive integer factors of 1284 that divides 1284 without a remainder.

1,2,3,4,6,12,107,214,321,428,642,1284

Greatest Common Factor

We found the factors 240,1284 . The biggest common factor number is the GCF number.
So the greatest common factor 240,1284 is 12.


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 61/240, 1830/1284

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 61/240, 1830/1284?

Answer: LCM of Numerators as per given numbers 61/240, 1830/1284 is

LCM of Numerators i.e. for 61,1830 is 1830

GCF of denominators i.e. for 240,1284 is 12.

Thus, LCM of Fractions is 1830/12.Finally, LCM of Fractions for 61/240, 1830/1284 is 1830/12.