Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4985/77, 7800/213 quickly i.e. 7776600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4985/77, 7800/213 is 7776600.
LCM(4985/77, 7800/213) = 7776600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4985/77,7800/213
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 4985,7800
Least Common Multiple of Numerators i.e. LCM of 4985,7800 is 7776600.
GCF of Denominators means GCF of 77,213 as per the given fractions.
GCF of 77,213 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4985,7800
5 | 4985, 7800 |
997, 1560 |
∴ So the LCM of the given numbers is 5 x 997 x 1560 = 7776600
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 4985,7800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4985,7800) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(4985,7800) x common factors =5 x 1 = 5
LCM(4985,7800) = ( 4985 × 7800 ) / 5
LCM(4985,7800) = 38883000 / 5
LCM(4985,7800) = 7776600
Lets's calculate GCF of 77,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7776600/1
Therefore the LCM of Fractions 4985/77,7800/213 is 7776600
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 77,213 . The biggest common factor number is the GCF number.
So the greatest common factor 77,213 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 4985/77, 7800/213?
Answer: LCM of Numerators as per given numbers 4985/77, 7800/213 is
LCM of Numerators i.e. for 4985,7800 is 7776600
GCF of denominators i.e. for 77,213 is 1.
Thus, LCM of Fractions is 7776600.Finally, LCM of Fractions for 4985/77, 7800/213 is 7776600.