Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 780/86, 980/12, 403/294 quickly i.e. 592410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 780/86, 980/12, 403/294 is 592410.
LCM(780/86, 980/12, 403/294) = 592410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 780/86,980/12,403/294
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 780,980,403
Least Common Multiple of Numerators i.e. LCM of 780,980,403 is 1184820.
GCF of Denominators means GCF of 86,12,294 as per the given fractions.
GCF of 86,12,294 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 780,980,403
2 | 780, 980, 403 |
2 | 390, 490, 403 |
5 | 195, 245, 403 |
13 | 39, 49, 403 |
3, 49, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 3 x 49 x 31 = 1184820
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 780,980,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,980,403) = 1
common factors(in case of two or more numbers have common factors) = 260
GCF(780,980,403) x common factors =1 x 260 = 260
LCM(780,980,403) = ( 780 × 980 × 403 ) / 260
LCM(780,980,403) = 308053200 / 260
LCM(780,980,403) = 1184820
Lets's calculate GCF of 86,12,294
2 | 86, 12, 294 |
43, 6, 147 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1184820/2
Therefore the LCM of Fractions 780/86,980/12,403/294 is 592410
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 86,12,294 . The biggest common factor number is the GCF number.
So the greatest common factor 86,12,294 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 780/86, 980/12, 403/294?
Answer: LCM of Numerators as per given numbers 780/86, 980/12, 403/294 is
LCM of Numerators i.e. for 780,980,403 is 1184820
GCF of denominators i.e. for 86,12,294 is 2.
Thus, LCM of Fractions is 592410.Finally, LCM of Fractions for 780/86, 980/12, 403/294 is 592410.