Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 783/467, 246/786, 875/278 quickly i.e. 56180250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 783/467, 246/786, 875/278 is 56180250.
LCM(783/467, 246/786, 875/278) = 56180250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 783/467,246/786,875/278
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 783,246,875
Least Common Multiple of Numerators i.e. LCM of 783,246,875 is 56180250.
GCF of Denominators means GCF of 467,786,278 as per the given fractions.
GCF of 467,786,278 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 783,246,875
3 | 783, 246, 875 |
261, 82, 875 |
∴ So the LCM of the given numbers is 3 x 261 x 82 x 875 = 56180250
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 783,246,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,246,875) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(783,246,875) x common factors =1 x 3 = 3
LCM(783,246,875) = ( 783 × 246 × 875 ) / 3
LCM(783,246,875) = 168540750 / 3
LCM(783,246,875) = 56180250
Lets's calculate GCF of 467,786,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56180250/1
Therefore the LCM of Fractions 783/467,246/786,875/278 is 56180250
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 467,786,278 . The biggest common factor number is the GCF number.
So the greatest common factor 467,786,278 is 1.
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 783/467, 246/786, 875/278?
Answer: LCM of Numerators as per given numbers 783/467, 246/786, 875/278 is
LCM of Numerators i.e. for 783,246,875 is 56180250
GCF of denominators i.e. for 467,786,278 is 1.
Thus, LCM of Fractions is 56180250.Finally, LCM of Fractions for 783/467, 246/786, 875/278 is 56180250.