Least Common Multiple of 285/55, 738/2220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/55, 738/2220 quickly i.e. 14022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/55, 738/2220 is 14022.

LCM(285/55, 738/2220) = 14022

LCM of 285/55, 738/2220

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 285/55,738/2220

Given numbers are 285/55,738/2220

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 285,738

Least Common Multiple of Numerators i.e. LCM of 285,738 is 70110.

GCF of Denominators means GCF of 55,2220 as per the given fractions.

GCF of 55,2220 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,738

LCM of Fractions 285/55,738/2220 is 14022

3 285, 738
95, 246

∴ So the LCM of the given numbers is 3 x 95 x 246 = 70110

Least Common Multiple of 285,738 with GCF Formula

Least Common Multiple of 285,738 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 285,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,738) = 3

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

GCF(285,738) x common factors =3 x 1 = 3

LCM(285,738) = ( 285 × 738 ) / 3

LCM(285,738) = 210330 / 3

LCM(285,738) = 70110


Lets's calculate GCF of 55,2220

5 55, 2220
11, 444

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70110/5

Therefore the LCM of Fractions 285/55,738/2220 is 14022

Greatest Common Factor of 55,2220 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,2220 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 2220

List of positive integer factors of 2220 that divides 2220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220

Greatest Common Factor

We found the factors 55,2220 . The biggest common factor number is the GCF number.
So the greatest common factor 55,2220 is 5.


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 285/55, 738/2220

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 285/55, 738/2220?

Answer: LCM of Numerators as per given numbers 285/55, 738/2220 is

LCM of Numerators i.e. for 285,738 is 70110

GCF of denominators i.e. for 55,2220 is 5.

Thus, LCM of Fractions is 14022.Finally, LCM of Fractions for 285/55, 738/2220 is 14022.