Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/40, 860/74, 802/412 quickly i.e. 10863090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/40, 860/74, 802/412 is 10863090.
LCM(63/40, 860/74, 802/412) = 10863090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/40,860/74,802/412
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 63,860,802
Least Common Multiple of Numerators i.e. LCM of 63,860,802 is 21726180.
GCF of Denominators means GCF of 40,74,412 as per the given fractions.
GCF of 40,74,412 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,860,802
2 | 63, 860, 802 |
63, 430, 401 |
∴ So the LCM of the given numbers is 2 x 63 x 430 x 401 = 21726180
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 63,860,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,860,802) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(63,860,802) x common factors =1 x 2 = 2
LCM(63,860,802) = ( 63 × 860 × 802 ) / 2
LCM(63,860,802) = 43452360 / 2
LCM(63,860,802) = 21726180
Lets's calculate GCF of 40,74,412
2 | 40, 74, 412 |
20, 37, 206 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21726180/2
Therefore the LCM of Fractions 63/40,860/74,802/412 is 10863090
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 40,74,412 . The biggest common factor number is the GCF number.
So the greatest common factor 40,74,412 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 63/40, 860/74, 802/412?
Answer: LCM of Numerators as per given numbers 63/40, 860/74, 802/412 is
LCM of Numerators i.e. for 63,860,802 is 21726180
GCF of denominators i.e. for 40,74,412 is 2.
Thus, LCM of Fractions is 10863090.Finally, LCM of Fractions for 63/40, 860/74, 802/412 is 10863090.