Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/825, 75/910 quickly i.e. 330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/825, 75/910 is 330.
LCM(22/825, 75/910) = 330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/825,75/910
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 22,75
Least Common Multiple of Numerators i.e. LCM of 22,75 is 1650.
GCF of Denominators means GCF of 825,910 as per the given fractions.
GCF of 825,910 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,75
Given numbers has no common factors except 1. So, there LCM is their product i.e 1650
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 22,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,75) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,75) x common factors =1 x 1 = 1
LCM(22,75) = ( 22 × 75 ) / 1
LCM(22,75) = 1650 / 1
LCM(22,75) = 1650
Lets's calculate GCF of 825,910
5 | 825, 910 |
165, 182 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1650/5
Therefore the LCM of Fractions 22/825,75/910 is 330
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 825,910 . The biggest common factor number is the GCF number.
So the greatest common factor 825,910 is 5.
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 22/825, 75/910?
Answer: LCM of Numerators as per given numbers 22/825, 75/910 is
LCM of Numerators i.e. for 22,75 is 1650
GCF of denominators i.e. for 825,910 is 5.
Thus, LCM of Fractions is 330.Finally, LCM of Fractions for 22/825, 75/910 is 330.