Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 316/478, 907/389, 166/783 quickly i.e. 23788796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 316/478, 907/389, 166/783 is 23788796.
LCM(316/478, 907/389, 166/783) = 23788796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 316/478,907/389,166/783
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 316,907,166
Least Common Multiple of Numerators i.e. LCM of 316,907,166 is 23788796.
GCF of Denominators means GCF of 478,389,783 as per the given fractions.
GCF of 478,389,783 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 316,907,166
2 | 316, 907, 166 |
158, 907, 83 |
∴ So the LCM of the given numbers is 2 x 158 x 907 x 83 = 23788796
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 316,907,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,907,166) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(316,907,166) x common factors =1 x 2 = 2
LCM(316,907,166) = ( 316 × 907 × 166 ) / 2
LCM(316,907,166) = 47577592 / 2
LCM(316,907,166) = 23788796
Lets's calculate GCF of 478,389,783
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23788796/1
Therefore the LCM of Fractions 316/478,907/389,166/783 is 23788796
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 478,389,783 . The biggest common factor number is the GCF number.
So the greatest common factor 478,389,783 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 316/478, 907/389, 166/783?
Answer: LCM of Numerators as per given numbers 316/478, 907/389, 166/783 is
LCM of Numerators i.e. for 316,907,166 is 23788796
GCF of denominators i.e. for 478,389,783 is 1.
Thus, LCM of Fractions is 23788796.Finally, LCM of Fractions for 316/478, 907/389, 166/783 is 23788796.