Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/71, 84/221, 37/833 quickly i.e. 3108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/71, 84/221, 37/833 is 3108.
LCM(1/71, 84/221, 37/833) = 3108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/71,84/221,37/833
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 1,84,37
Least Common Multiple of Numerators i.e. LCM of 1,84,37 is 3108.
GCF of Denominators means GCF of 71,221,833 as per the given fractions.
GCF of 71,221,833 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,84,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 3108
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 1,84,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,84,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,84,37) x common factors =1 x 1 = 1
LCM(1,84,37) = ( 1 × 84 × 37 ) / 1
LCM(1,84,37) = 3108 / 1
LCM(1,84,37) = 3108
Lets's calculate GCF of 71,221,833
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3108/1
Therefore the LCM of Fractions 1/71,84/221,37/833 is 3108
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 71,221,833 . The biggest common factor number is the GCF number.
So the greatest common factor 71,221,833 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 1/71, 84/221, 37/833?
Answer: LCM of Numerators as per given numbers 1/71, 84/221, 37/833 is
LCM of Numerators i.e. for 1,84,37 is 3108
GCF of denominators i.e. for 71,221,833 is 1.
Thus, LCM of Fractions is 3108.Finally, LCM of Fractions for 1/71, 84/221, 37/833 is 3108.