Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/949, 15/335, 870/338 quickly i.e. 37410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/949, 15/335, 870/338 is 37410.
LCM(86/949, 15/335, 870/338) = 37410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/949,15/335,870/338
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 86,15,870
Least Common Multiple of Numerators i.e. LCM of 86,15,870 is 37410.
GCF of Denominators means GCF of 949,335,338 as per the given fractions.
GCF of 949,335,338 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,15,870
2 | 86, 15, 870 |
3 | 43, 15, 435 |
5 | 43, 5, 145 |
43, 1, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 1 x 29 = 37410
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 86,15,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,15,870) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(86,15,870) x common factors =1 x 30 = 30
LCM(86,15,870) = ( 86 × 15 × 870 ) / 30
LCM(86,15,870) = 1122300 / 30
LCM(86,15,870) = 37410
Lets's calculate GCF of 949,335,338
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37410/1
Therefore the LCM of Fractions 86/949,15/335,870/338 is 37410
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Greatest Common Factor
We found the factors 949,335,338 . The biggest common factor number is the GCF number.
So the greatest common factor 949,335,338 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 86/949, 15/335, 870/338?
Answer: LCM of Numerators as per given numbers 86/949, 15/335, 870/338 is
LCM of Numerators i.e. for 86,15,870 is 37410
GCF of denominators i.e. for 949,335,338 is 1.
Thus, LCM of Fractions is 37410.Finally, LCM of Fractions for 86/949, 15/335, 870/338 is 37410.