Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3620/202, 6390/6536 quickly i.e. 1156590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3620/202, 6390/6536 is 1156590.
LCM(3620/202, 6390/6536) = 1156590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3620/202,6390/6536
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 3620,6390
Least Common Multiple of Numerators i.e. LCM of 3620,6390 is 2313180.
GCF of Denominators means GCF of 202,6536 as per the given fractions.
GCF of 202,6536 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3620,6390
2 | 3620, 6390 |
5 | 1810, 3195 |
362, 639 |
∴ So the LCM of the given numbers is 2 x 5 x 362 x 639 = 2313180
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 3620,6390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3620,6390) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(3620,6390) x common factors =10 x 1 = 10
LCM(3620,6390) = ( 3620 × 6390 ) / 10
LCM(3620,6390) = 23131800 / 10
LCM(3620,6390) = 2313180
Lets's calculate GCF of 202,6536
2 | 202, 6536 |
101, 3268 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2313180/2
Therefore the LCM of Fractions 3620/202,6390/6536 is 1156590
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 6536
List of positive integer factors of 6536 that divides 6536 without a remainder.
1,2,4,8,19,38,43,76,86,152,172,344,817,1634,3268,6536
Greatest Common Factor
We found the factors 202,6536 . The biggest common factor number is the GCF number.
So the greatest common factor 202,6536 is 2.
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 3620/202, 6390/6536?
Answer: LCM of Numerators as per given numbers 3620/202, 6390/6536 is
LCM of Numerators i.e. for 3620,6390 is 2313180
GCF of denominators i.e. for 202,6536 is 2.
Thus, LCM of Fractions is 1156590.Finally, LCM of Fractions for 3620/202, 6390/6536 is 1156590.