Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/780, 74/993, 683/387 quickly i.e. 50542/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/780, 74/993, 683/387 is 50542/3.
LCM(74/780, 74/993, 683/387) = 50542/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/780,74/993,683/387
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 74,74,683
Least Common Multiple of Numerators i.e. LCM of 74,74,683 is 50542.
GCF of Denominators means GCF of 780,993,387 as per the given fractions.
GCF of 780,993,387 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,74,683
2 | 74, 74, 683 |
37 | 37, 37, 683 |
1, 1, 683 |
∴ So the LCM of the given numbers is 2 x 37 x 1 x 1 x 683 = 50542
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 74,74,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,74,683) = 1
common factors(in case of two or more numbers have common factors) = 74
GCF(74,74,683) x common factors =1 x 74 = 74
LCM(74,74,683) = ( 74 × 74 × 683 ) / 74
LCM(74,74,683) = 3740108 / 74
LCM(74,74,683) = 50542
Lets's calculate GCF of 780,993,387
3 | 780, 993, 387 |
260, 331, 129 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50542/3
Therefore the LCM of Fractions 74/780,74/993,683/387 is 50542/3
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 780,993,387 . The biggest common factor number is the GCF number.
So the greatest common factor 780,993,387 is 3.
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 74/780, 74/993, 683/387?
Answer: LCM of Numerators as per given numbers 74/780, 74/993, 683/387 is
LCM of Numerators i.e. for 74,74,683 is 50542
GCF of denominators i.e. for 780,993,387 is 3.
Thus, LCM of Fractions is 50542/3.Finally, LCM of Fractions for 74/780, 74/993, 683/387 is 50542/3.