Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/35, 676/38, 284/465 quickly i.e. 719940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/35, 676/38, 284/465 is 719940.
LCM(15/35, 676/38, 284/465) = 719940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/35,676/38,284/465
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 15,676,284
Least Common Multiple of Numerators i.e. LCM of 15,676,284 is 719940.
GCF of Denominators means GCF of 35,38,465 as per the given fractions.
GCF of 35,38,465 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,676,284
2 | 15, 676, 284 |
2 | 15, 338, 142 |
15, 169, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 169 x 71 = 719940
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 15,676,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,676,284) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(15,676,284) x common factors =1 x 4 = 4
LCM(15,676,284) = ( 15 × 676 × 284 ) / 4
LCM(15,676,284) = 2879760 / 4
LCM(15,676,284) = 719940
Lets's calculate GCF of 35,38,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 719940/1
Therefore the LCM of Fractions 15/35,676/38,284/465 is 719940
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 35,38,465 . The biggest common factor number is the GCF number.
So the greatest common factor 35,38,465 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 15/35, 676/38, 284/465?
Answer: LCM of Numerators as per given numbers 15/35, 676/38, 284/465 is
LCM of Numerators i.e. for 15,676,284 is 719940
GCF of denominators i.e. for 35,38,465 is 1.
Thus, LCM of Fractions is 719940.Finally, LCM of Fractions for 15/35, 676/38, 284/465 is 719940.