Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/822, 45/411 quickly i.e. 2790/411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/822, 45/411 is 2790/411.
LCM(62/822, 45/411) = 2790/411
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/822,45/411
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 62,45
Least Common Multiple of Numerators i.e. LCM of 62,45 is 2790.
GCF of Denominators means GCF of 822,411 as per the given fractions.
GCF of 822,411 is 411 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,45
Given numbers has no common factors except 1. So, there LCM is their product i.e 2790
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 62,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,45) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,45) x common factors =1 x 1 = 1
LCM(62,45) = ( 62 × 45 ) / 1
LCM(62,45) = 2790 / 1
LCM(62,45) = 2790
Lets's calculate GCF of 822,411
3 | 822, 411 |
137 | 274, 137 |
2, 1 |
∴ So the GCF of the given numbers is 3 x 137 = 411
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2790/411
Therefore the LCM of Fractions 62/822,45/411 is 2790/411
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 822,411 . The biggest common factor number is the GCF number.
So the greatest common factor 822,411 is 411.
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 62/822, 45/411?
Answer: LCM of Numerators as per given numbers 62/822, 45/411 is
LCM of Numerators i.e. for 62,45 is 2790
GCF of denominators i.e. for 822,411 is 411.
Thus, LCM of Fractions is 2790/411.Finally, LCM of Fractions for 62/822, 45/411 is 2790/411.