Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 277/386, 500/216 quickly i.e. 69250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 277/386, 500/216 is 69250.
LCM(277/386, 500/216) = 69250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 277/386,500/216
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 277,500
Least Common Multiple of Numerators i.e. LCM of 277,500 is 138500.
GCF of Denominators means GCF of 386,216 as per the given fractions.
GCF of 386,216 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 277,500
Given numbers has no common factors except 1. So, there LCM is their product i.e 138500
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 277,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,500) x common factors =1 x 1 = 1
LCM(277,500) = ( 277 × 500 ) / 1
LCM(277,500) = 138500 / 1
LCM(277,500) = 138500
Lets's calculate GCF of 386,216
2 | 386, 216 |
193, 108 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138500/2
Therefore the LCM of Fractions 277/386,500/216 is 69250
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 386,216 . The biggest common factor number is the GCF number.
So the greatest common factor 386,216 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 277/386, 500/216?
Answer: LCM of Numerators as per given numbers 277/386, 500/216 is
LCM of Numerators i.e. for 277,500 is 138500
GCF of denominators i.e. for 386,216 is 2.
Thus, LCM of Fractions is 69250.Finally, LCM of Fractions for 277/386, 500/216 is 69250.