Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/734, 64/934, 699/334 quickly i.e. 290784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/734, 64/934, 699/334 is 290784.
LCM(78/734, 64/934, 699/334) = 290784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/734,64/934,699/334
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 78,64,699
Least Common Multiple of Numerators i.e. LCM of 78,64,699 is 581568.
GCF of Denominators means GCF of 734,934,334 as per the given fractions.
GCF of 734,934,334 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,64,699
2 | 78, 64, 699 |
3 | 39, 32, 699 |
13, 32, 233 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 32 x 233 = 581568
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 78,64,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,64,699) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,64,699) x common factors =1 x 6 = 6
LCM(78,64,699) = ( 78 × 64 × 699 ) / 6
LCM(78,64,699) = 3489408 / 6
LCM(78,64,699) = 581568
Lets's calculate GCF of 734,934,334
2 | 734, 934, 334 |
367, 467, 167 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581568/2
Therefore the LCM of Fractions 78/734,64/934,699/334 is 290784
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 734,934,334 . The biggest common factor number is the GCF number.
So the greatest common factor 734,934,334 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 78/734, 64/934, 699/334?
Answer: LCM of Numerators as per given numbers 78/734, 64/934, 699/334 is
LCM of Numerators i.e. for 78,64,699 is 581568
GCF of denominators i.e. for 734,934,334 is 2.
Thus, LCM of Fractions is 290784.Finally, LCM of Fractions for 78/734, 64/934, 699/334 is 290784.