Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 500/776, 5680/217 quickly i.e. 142000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 500/776, 5680/217 is 142000.
LCM(500/776, 5680/217) = 142000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 500/776,5680/217
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 500,5680
Least Common Multiple of Numerators i.e. LCM of 500,5680 is 142000.
GCF of Denominators means GCF of 776,217 as per the given fractions.
GCF of 776,217 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 500,5680
2 | 500, 5680 |
2 | 250, 2840 |
5 | 125, 1420 |
25, 284 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 284 = 142000
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 500,5680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,5680) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(500,5680) x common factors =20 x 1 = 20
LCM(500,5680) = ( 500 × 5680 ) / 20
LCM(500,5680) = 2840000 / 20
LCM(500,5680) = 142000
Lets's calculate GCF of 776,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142000/1
Therefore the LCM of Fractions 500/776,5680/217 is 142000
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Greatest Common Factor
We found the factors 776,217 . The biggest common factor number is the GCF number.
So the greatest common factor 776,217 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 500/776, 5680/217?
Answer: LCM of Numerators as per given numbers 500/776, 5680/217 is
LCM of Numerators i.e. for 500,5680 is 142000
GCF of denominators i.e. for 776,217 is 1.
Thus, LCM of Fractions is 142000.Finally, LCM of Fractions for 500/776, 5680/217 is 142000.