Least Common Multiple of 283/217, 4273/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/217, 4273/120 quickly i.e. 1209259 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/217, 4273/120 is 1209259.

LCM(283/217, 4273/120) = 1209259

LCM of 283/217, 4273/120

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 283/217,4273/120

Given numbers are 283/217,4273/120

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 283,4273

Least Common Multiple of Numerators i.e. LCM of 283,4273 is 1209259.

GCF of Denominators means GCF of 217,120 as per the given fractions.

GCF of 217,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,4273

LCM of Fractions 283/217,4273/120 is 1209259

Given numbers has no common factors except 1. So, there LCM is their product i.e 1209259

Least Common Multiple of 283,4273 with GCF Formula

Least Common Multiple of 283,4273 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 283,4273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,4273) = 1

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

GCF(283,4273) x common factors =1 x 1 = 1

LCM(283,4273) = ( 283 × 4273 ) / 1

LCM(283,4273) = 1209259 / 1

LCM(283,4273) = 1209259


Lets's calculate GCF of 217,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1209259/1

Therefore the LCM of Fractions 283/217,4273/120 is 1209259

Greatest Common Factor of 217,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,120 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

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

Greatest Common Factor

We found the factors 217,120 . The biggest common factor number is the GCF number.
So the greatest common factor 217,120 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 283/217, 4273/120

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 283/217, 4273/120?

Answer: LCM of Numerators as per given numbers 283/217, 4273/120 is

LCM of Numerators i.e. for 283,4273 is 1209259

GCF of denominators i.e. for 217,120 is 1.

Thus, LCM of Fractions is 1209259.Finally, LCM of Fractions for 283/217, 4273/120 is 1209259.