Least Common Multiple of 3489/420, 5888/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3489/420, 5888/226 quickly i.e. 10271616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3489/420, 5888/226 is 10271616.

LCM(3489/420, 5888/226) = 10271616

LCM of 3489/420, 5888/226

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 3489/420,5888/226

Given numbers are 3489/420,5888/226

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 3489,5888

Least Common Multiple of Numerators i.e. LCM of 3489,5888 is 20543232.

GCF of Denominators means GCF of 420,226 as per the given fractions.

GCF of 420,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3489,5888

LCM of Fractions 3489/420,5888/226 is 10271616

Given numbers has no common factors except 1. So, there LCM is their product i.e 20543232

Least Common Multiple of 3489,5888 with GCF Formula

Least Common Multiple of 3489,5888 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 3489,5888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3489,5888) = 1

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

GCF(3489,5888) x common factors =1 x 1 = 1

LCM(3489,5888) = ( 3489 × 5888 ) / 1

LCM(3489,5888) = 20543232 / 1

LCM(3489,5888) = 20543232


Lets's calculate GCF of 420,226

2 420, 226
210, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20543232/2

Therefore the LCM of Fractions 3489/420,5888/226 is 10271616

Greatest Common Factor of 420,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,226 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 420,226 . The biggest common factor number is the GCF number.
So the greatest common factor 420,226 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 3489/420, 5888/226

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 3489/420, 5888/226?

Answer: LCM of Numerators as per given numbers 3489/420, 5888/226 is

LCM of Numerators i.e. for 3489,5888 is 20543232

GCF of denominators i.e. for 420,226 is 2.

Thus, LCM of Fractions is 10271616.Finally, LCM of Fractions for 3489/420, 5888/226 is 10271616.