Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/824, 359/215, 377/388 quickly i.e. 10015382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/824, 359/215, 377/388 is 10015382.
LCM(74/824, 359/215, 377/388) = 10015382
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/824,359/215,377/388
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 74,359,377
Least Common Multiple of Numerators i.e. LCM of 74,359,377 is 10015382.
GCF of Denominators means GCF of 824,215,388 as per the given fractions.
GCF of 824,215,388 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,359,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 10015382
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 74,359,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,359,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,359,377) x common factors =1 x 1 = 1
LCM(74,359,377) = ( 74 × 359 × 377 ) / 1
LCM(74,359,377) = 10015382 / 1
LCM(74,359,377) = 10015382
Lets's calculate GCF of 824,215,388
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10015382/1
Therefore the LCM of Fractions 74/824,359/215,377/388 is 10015382
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 824,215,388 . The biggest common factor number is the GCF number.
So the greatest common factor 824,215,388 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 74/824, 359/215, 377/388?
Answer: LCM of Numerators as per given numbers 74/824, 359/215, 377/388 is
LCM of Numerators i.e. for 74,359,377 is 10015382
GCF of denominators i.e. for 824,215,388 is 1.
Thus, LCM of Fractions is 10015382.Finally, LCM of Fractions for 74/824, 359/215, 377/388 is 10015382.