Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 942/480, 5662/5775 quickly i.e. 2666802/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 942/480, 5662/5775 is 2666802/15.
LCM(942/480, 5662/5775) = 2666802/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 942/480,5662/5775
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 942,5662
Least Common Multiple of Numerators i.e. LCM of 942,5662 is 2666802.
GCF of Denominators means GCF of 480,5775 as per the given fractions.
GCF of 480,5775 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 942,5662
2 | 942, 5662 |
471, 2831 |
∴ So the LCM of the given numbers is 2 x 471 x 2831 = 2666802
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 942,5662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,5662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,5662) x common factors =2 x 1 = 2
LCM(942,5662) = ( 942 × 5662 ) / 2
LCM(942,5662) = 5333604 / 2
LCM(942,5662) = 2666802
Lets's calculate GCF of 480,5775
3 | 480, 5775 |
5 | 160, 1925 |
32, 385 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2666802/15
Therefore the LCM of Fractions 942/480,5662/5775 is 2666802/15
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Factors of 5775
List of positive integer factors of 5775 that divides 5775 without a remainder.
1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775
Greatest Common Factor
We found the factors 480,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 480,5775 is 15.
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 942/480, 5662/5775?
Answer: LCM of Numerators as per given numbers 942/480, 5662/5775 is
LCM of Numerators i.e. for 942,5662 is 2666802
GCF of denominators i.e. for 480,5775 is 15.
Thus, LCM of Fractions is 2666802/15.Finally, LCM of Fractions for 942/480, 5662/5775 is 2666802/15.