Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3185/662, 3835/6201 quickly i.e. 187915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3185/662, 3835/6201 is 187915.
LCM(3185/662, 3835/6201) = 187915
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3185/662,3835/6201
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 3185,3835
Least Common Multiple of Numerators i.e. LCM of 3185,3835 is 187915.
GCF of Denominators means GCF of 662,6201 as per the given fractions.
GCF of 662,6201 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3185,3835
5 | 3185, 3835 |
13 | 637, 767 |
49, 59 |
∴ So the LCM of the given numbers is 5 x 13 x 49 x 59 = 187915
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 3185,3835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3185,3835) = 65
common factors(in case of two or more numbers have common factors) = 1
GCF(3185,3835) x common factors =65 x 1 = 65
LCM(3185,3835) = ( 3185 × 3835 ) / 65
LCM(3185,3835) = 12214475 / 65
LCM(3185,3835) = 187915
Lets's calculate GCF of 662,6201
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187915/1
Therefore the LCM of Fractions 3185/662,3835/6201 is 187915
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 6201
List of positive integer factors of 6201 that divides 6201 without a remainder.
1,3,9,13,39,53,117,159,477,689,2067,6201
Greatest Common Factor
We found the factors 662,6201 . The biggest common factor number is the GCF number.
So the greatest common factor 662,6201 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 3185/662, 3835/6201?
Answer: LCM of Numerators as per given numbers 3185/662, 3835/6201 is
LCM of Numerators i.e. for 3185,3835 is 187915
GCF of denominators i.e. for 662,6201 is 1.
Thus, LCM of Fractions is 187915.Finally, LCM of Fractions for 3185/662, 3835/6201 is 187915.