Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/585, 278/780, 488/908 quickly i.e. 2374120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/585, 278/780, 488/908 is 2374120.
LCM(35/585, 278/780, 488/908) = 2374120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/585,278/780,488/908
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 35,278,488
Least Common Multiple of Numerators i.e. LCM of 35,278,488 is 2374120.
GCF of Denominators means GCF of 585,780,908 as per the given fractions.
GCF of 585,780,908 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,278,488
2 | 35, 278, 488 |
35, 139, 244 |
∴ So the LCM of the given numbers is 2 x 35 x 139 x 244 = 2374120
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 35,278,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,278,488) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(35,278,488) x common factors =1 x 2 = 2
LCM(35,278,488) = ( 35 × 278 × 488 ) / 2
LCM(35,278,488) = 4748240 / 2
LCM(35,278,488) = 2374120
Lets's calculate GCF of 585,780,908
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2374120/1
Therefore the LCM of Fractions 35/585,278/780,488/908 is 2374120
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 585,780,908 . The biggest common factor number is the GCF number.
So the greatest common factor 585,780,908 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 35/585, 278/780, 488/908?
Answer: LCM of Numerators as per given numbers 35/585, 278/780, 488/908 is
LCM of Numerators i.e. for 35,278,488 is 2374120
GCF of denominators i.e. for 585,780,908 is 1.
Thus, LCM of Fractions is 2374120.Finally, LCM of Fractions for 35/585, 278/780, 488/908 is 2374120.