Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/83, 52/769, 95/222 quickly i.e. 9880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/83, 52/769, 95/222 is 9880.
LCM(8/83, 52/769, 95/222) = 9880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/83,52/769,95/222
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 8,52,95
Least Common Multiple of Numerators i.e. LCM of 8,52,95 is 9880.
GCF of Denominators means GCF of 83,769,222 as per the given fractions.
GCF of 83,769,222 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,52,95
2 | 8, 52, 95 |
2 | 4, 26, 95 |
2, 13, 95 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 95 = 9880
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 8,52,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,52,95) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(8,52,95) x common factors =1 x 4 = 4
LCM(8,52,95) = ( 8 × 52 × 95 ) / 4
LCM(8,52,95) = 39520 / 4
LCM(8,52,95) = 9880
Lets's calculate GCF of 83,769,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9880/1
Therefore the LCM of Fractions 8/83,52/769,95/222 is 9880
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 83,769,222 . The biggest common factor number is the GCF number.
So the greatest common factor 83,769,222 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 8/83, 52/769, 95/222?
Answer: LCM of Numerators as per given numbers 8/83, 52/769, 95/222 is
LCM of Numerators i.e. for 8,52,95 is 9880
GCF of denominators i.e. for 83,769,222 is 1.
Thus, LCM of Fractions is 9880.Finally, LCM of Fractions for 8/83, 52/769, 95/222 is 9880.