Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8010/977, 4777/521 quickly i.e. 38263770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8010/977, 4777/521 is 38263770.
LCM(8010/977, 4777/521) = 38263770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8010/977,4777/521
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 8010,4777
Least Common Multiple of Numerators i.e. LCM of 8010,4777 is 38263770.
GCF of Denominators means GCF of 977,521 as per the given fractions.
GCF of 977,521 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8010,4777
Given numbers has no common factors except 1. So, there LCM is their product i.e 38263770
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 8010,4777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8010,4777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8010,4777) x common factors =1 x 1 = 1
LCM(8010,4777) = ( 8010 × 4777 ) / 1
LCM(8010,4777) = 38263770 / 1
LCM(8010,4777) = 38263770
Lets's calculate GCF of 977,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38263770/1
Therefore the LCM of Fractions 8010/977,4777/521 is 38263770
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 977,521 . The biggest common factor number is the GCF number.
So the greatest common factor 977,521 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 8010/977, 4777/521?
Answer: LCM of Numerators as per given numbers 8010/977, 4777/521 is
LCM of Numerators i.e. for 8010,4777 is 38263770
GCF of denominators i.e. for 977,521 is 1.
Thus, LCM of Fractions is 38263770.Finally, LCM of Fractions for 8010/977, 4777/521 is 38263770.