Least Common Multiple of 588/550, 6011/2175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/550, 6011/2175 quickly i.e. 3534468/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/550, 6011/2175 is 3534468/25.

LCM(588/550, 6011/2175) = 3534468/25

LCM of 588/550, 6011/2175

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 588/550,6011/2175

Given numbers are 588/550,6011/2175

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 588,6011

Least Common Multiple of Numerators i.e. LCM of 588,6011 is 3534468.

GCF of Denominators means GCF of 550,2175 as per the given fractions.

GCF of 550,2175 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,6011

LCM of Fractions 588/550,6011/2175 is 3534468/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 3534468

Least Common Multiple of 588,6011 with GCF Formula

Least Common Multiple of 588,6011 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 588,6011 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,6011) = 1

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

GCF(588,6011) x common factors =1 x 1 = 1

LCM(588,6011) = ( 588 × 6011 ) / 1

LCM(588,6011) = 3534468 / 1

LCM(588,6011) = 3534468


Lets's calculate GCF of 550,2175

5 550, 2175
5 110, 435
22, 87

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3534468/25

Therefore the LCM of Fractions 588/550,6011/2175 is 3534468/25

Greatest Common Factor of 550,2175 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,2175 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 2175

List of positive integer factors of 2175 that divides 2175 without a remainder.

1,3,5,15,25,29,75,87,145,435,725,2175

Greatest Common Factor

We found the factors 550,2175 . The biggest common factor number is the GCF number.
So the greatest common factor 550,2175 is 25.


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 588/550, 6011/2175

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 588/550, 6011/2175?

Answer: LCM of Numerators as per given numbers 588/550, 6011/2175 is

LCM of Numerators i.e. for 588,6011 is 3534468

GCF of denominators i.e. for 550,2175 is 25.

Thus, LCM of Fractions is 3534468/25.Finally, LCM of Fractions for 588/550, 6011/2175 is 3534468/25.