Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/90, 63/36, 50/23, 69/707 quickly i.e. 2101050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/90, 63/36, 50/23, 69/707 is 2101050.
LCM(87/90, 63/36, 50/23, 69/707) = 2101050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/90,63/36,50/23,69/707
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 87,63,50,69
Least Common Multiple of Numerators i.e. LCM of 87,63,50,69 is 2101050.
GCF of Denominators means GCF of 90,36,23,707 as per the given fractions.
GCF of 90,36,23,707 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,63,50,69
3 | 87, 63, 50, 69 |
29, 21, 50, 23 |
∴ So the LCM of the given numbers is 3 x 29 x 21 x 50 x 23 = 2101050
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 87,63,50,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,63,50,69) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(87,63,50,69) x common factors =1 x 9 = 9
LCM(87,63,50,69) = ( 87 × 63 × 50 × 69 ) / 9
LCM(87,63,50,69) = 18909450 / 9
LCM(87,63,50,69) = 2101050
Lets's calculate GCF of 90,36,23,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2101050/1
Therefore the LCM of Fractions 87/90,63/36,50/23,69/707 is 2101050
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
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 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 90,36,23,707 . The biggest common factor number is the GCF number.
So the greatest common factor 90,36,23,707 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 87/90, 63/36, 50/23, 69/707?
Answer: LCM of Numerators as per given numbers 87/90, 63/36, 50/23, 69/707 is
LCM of Numerators i.e. for 87,63,50,69 is 2101050
GCF of denominators i.e. for 90,36,23,707 is 1.
Thus, LCM of Fractions is 2101050.Finally, LCM of Fractions for 87/90, 63/36, 50/23, 69/707 is 2101050.