Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/140, 783/746, 655/784 quickly i.e. 6667245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/140, 783/746, 655/784 is 6667245.
LCM(78/140, 783/746, 655/784) = 6667245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/140,783/746,655/784
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 78,783,655
Least Common Multiple of Numerators i.e. LCM of 78,783,655 is 13334490.
GCF of Denominators means GCF of 140,746,784 as per the given fractions.
GCF of 140,746,784 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,783,655
3 | 78, 783, 655 |
26, 261, 655 |
∴ So the LCM of the given numbers is 3 x 26 x 261 x 655 = 13334490
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 78,783,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,783,655) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(78,783,655) x common factors =1 x 3 = 3
LCM(78,783,655) = ( 78 × 783 × 655 ) / 3
LCM(78,783,655) = 40003470 / 3
LCM(78,783,655) = 13334490
Lets's calculate GCF of 140,746,784
2 | 140, 746, 784 |
70, 373, 392 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13334490/2
Therefore the LCM of Fractions 78/140,783/746,655/784 is 6667245
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 140,746,784 . The biggest common factor number is the GCF number.
So the greatest common factor 140,746,784 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 78/140, 783/746, 655/784?
Answer: LCM of Numerators as per given numbers 78/140, 783/746, 655/784 is
LCM of Numerators i.e. for 78,783,655 is 13334490
GCF of denominators i.e. for 140,746,784 is 2.
Thus, LCM of Fractions is 6667245.Finally, LCM of Fractions for 78/140, 783/746, 655/784 is 6667245.