Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 568/877, 1240/8164 quickly i.e. 88040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 568/877, 1240/8164 is 88040.
LCM(568/877, 1240/8164) = 88040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 568/877,1240/8164
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 568,1240
Least Common Multiple of Numerators i.e. LCM of 568,1240 is 88040.
GCF of Denominators means GCF of 877,8164 as per the given fractions.
GCF of 877,8164 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 568,1240
2 | 568, 1240 |
2 | 284, 620 |
2 | 142, 310 |
71, 155 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 155 = 88040
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 568,1240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,1240) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(568,1240) x common factors =8 x 1 = 8
LCM(568,1240) = ( 568 × 1240 ) / 8
LCM(568,1240) = 704320 / 8
LCM(568,1240) = 88040
Lets's calculate GCF of 877,8164
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88040/1
Therefore the LCM of Fractions 568/877,1240/8164 is 88040
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 8164
List of positive integer factors of 8164 that divides 8164 without a remainder.
1,2,4,13,26,52,157,314,628,2041,4082,8164
Greatest Common Factor
We found the factors 877,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 877,8164 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 568/877, 1240/8164?
Answer: LCM of Numerators as per given numbers 568/877, 1240/8164 is
LCM of Numerators i.e. for 568,1240 is 88040
GCF of denominators i.e. for 877,8164 is 1.
Thus, LCM of Fractions is 88040.Finally, LCM of Fractions for 568/877, 1240/8164 is 88040.