Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/22, 789/84, 822/304 quickly i.e. 3999441 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/22, 789/84, 822/304 is 3999441.
LCM(74/22, 789/84, 822/304) = 3999441
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/22,789/84,822/304
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 74,789,822
Least Common Multiple of Numerators i.e. LCM of 74,789,822 is 7998882.
GCF of Denominators means GCF of 22,84,304 as per the given fractions.
GCF of 22,84,304 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,789,822
2 | 74, 789, 822 |
3 | 37, 789, 411 |
37, 263, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 263 x 137 = 7998882
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 74,789,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,789,822) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(74,789,822) x common factors =1 x 6 = 6
LCM(74,789,822) = ( 74 × 789 × 822 ) / 6
LCM(74,789,822) = 47993292 / 6
LCM(74,789,822) = 7998882
Lets's calculate GCF of 22,84,304
2 | 22, 84, 304 |
11, 42, 152 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7998882/2
Therefore the LCM of Fractions 74/22,789/84,822/304 is 3999441
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 22,84,304 . The biggest common factor number is the GCF number.
So the greatest common factor 22,84,304 is 2.
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 74/22, 789/84, 822/304?
Answer: LCM of Numerators as per given numbers 74/22, 789/84, 822/304 is
LCM of Numerators i.e. for 74,789,822 is 7998882
GCF of denominators i.e. for 22,84,304 is 2.
Thus, LCM of Fractions is 3999441.Finally, LCM of Fractions for 74/22, 789/84, 822/304 is 3999441.