Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/82, 93/84, 737/924 quickly i.e. 891033 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/82, 93/84, 737/924 is 891033.
LCM(78/82, 93/84, 737/924) = 891033
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/82,93/84,737/924
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 78,93,737
Least Common Multiple of Numerators i.e. LCM of 78,93,737 is 1782066.
GCF of Denominators means GCF of 82,84,924 as per the given fractions.
GCF of 82,84,924 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,93,737
3 | 78, 93, 737 |
26, 31, 737 |
∴ So the LCM of the given numbers is 3 x 26 x 31 x 737 = 1782066
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 78,93,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,93,737) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(78,93,737) x common factors =1 x 3 = 3
LCM(78,93,737) = ( 78 × 93 × 737 ) / 3
LCM(78,93,737) = 5346198 / 3
LCM(78,93,737) = 1782066
Lets's calculate GCF of 82,84,924
2 | 82, 84, 924 |
41, 42, 462 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1782066/2
Therefore the LCM of Fractions 78/82,93/84,737/924 is 891033
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
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 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 82,84,924 . The biggest common factor number is the GCF number.
So the greatest common factor 82,84,924 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 78/82, 93/84, 737/924?
Answer: LCM of Numerators as per given numbers 78/82, 93/84, 737/924 is
LCM of Numerators i.e. for 78,93,737 is 1782066
GCF of denominators i.e. for 82,84,924 is 2.
Thus, LCM of Fractions is 891033.Finally, LCM of Fractions for 78/82, 93/84, 737/924 is 891033.