Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 886/13, 370/36, 148/101 quickly i.e. 327820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 886/13, 370/36, 148/101 is 327820.
LCM(886/13, 370/36, 148/101) = 327820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 886/13,370/36,148/101
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 886,370,148
Least Common Multiple of Numerators i.e. LCM of 886,370,148 is 327820.
GCF of Denominators means GCF of 13,36,101 as per the given fractions.
GCF of 13,36,101 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 886,370,148
2 | 886, 370, 148 |
37 | 443, 185, 74 |
443, 5, 2 |
∴ So the LCM of the given numbers is 2 x 37 x 443 x 5 x 2 = 327820
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 886,370,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,370,148) = 2
common factors(in case of two or more numbers have common factors) = 74
GCF(886,370,148) x common factors =2 x 74 = 148
LCM(886,370,148) = ( 886 × 370 × 148 ) / 148
LCM(886,370,148) = 48517360 / 148
LCM(886,370,148) = 327820
Lets's calculate GCF of 13,36,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327820/1
Therefore the LCM of Fractions 886/13,370/36,148/101 is 327820
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 13,36,101 . The biggest common factor number is the GCF number.
So the greatest common factor 13,36,101 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 886/13, 370/36, 148/101?
Answer: LCM of Numerators as per given numbers 886/13, 370/36, 148/101 is
LCM of Numerators i.e. for 886,370,148 is 327820
GCF of denominators i.e. for 13,36,101 is 1.
Thus, LCM of Fractions is 327820.Finally, LCM of Fractions for 886/13, 370/36, 148/101 is 327820.