Least Common Multiple of 75/614, 181/419, 211/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/614, 181/419, 211/900 quickly i.e. 2864325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/614, 181/419, 211/900 is 2864325.

LCM(75/614, 181/419, 211/900) = 2864325

LCM of 75/614, 181/419, 211/900

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 75/614,181/419,211/900

Given numbers are 75/614,181/419,211/900

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 75,181,211

Least Common Multiple of Numerators i.e. LCM of 75,181,211 is 2864325.

GCF of Denominators means GCF of 614,419,900 as per the given fractions.

GCF of 614,419,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,181,211

LCM of Fractions 75/614,181/419,211/900 is 2864325

Given numbers has no common factors except 1. So, there LCM is their product i.e 2864325

Least Common Multiple of 75,181,211 with GCF Formula

Least Common Multiple of 75,181,211 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 75,181,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,181,211) = 1

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

GCF(75,181,211) x common factors =1 x 1 = 1

LCM(75,181,211) = ( 75 × 181 × 211 ) / 1

LCM(75,181,211) = 2864325 / 1

LCM(75,181,211) = 2864325


Lets's calculate GCF of 614,419,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2864325/1

Therefore the LCM of Fractions 75/614,181/419,211/900 is 2864325

Greatest Common Factor of 614,419,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,419,900 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 614,419,900 . The biggest common factor number is the GCF number.
So the greatest common factor 614,419,900 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 75/614, 181/419, 211/900

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 75/614, 181/419, 211/900?

Answer: LCM of Numerators as per given numbers 75/614, 181/419, 211/900 is

LCM of Numerators i.e. for 75,181,211 is 2864325

GCF of denominators i.e. for 614,419,900 is 1.

Thus, LCM of Fractions is 2864325.Finally, LCM of Fractions for 75/614, 181/419, 211/900 is 2864325.