Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/778, 5020/4104 quickly i.e. 77810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/778, 5020/4104 is 77810.
LCM(62/778, 5020/4104) = 77810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/778,5020/4104
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 62,5020
Least Common Multiple of Numerators i.e. LCM of 62,5020 is 155620.
GCF of Denominators means GCF of 778,4104 as per the given fractions.
GCF of 778,4104 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,5020
2 | 62, 5020 |
31, 2510 |
∴ So the LCM of the given numbers is 2 x 31 x 2510 = 155620
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 62,5020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,5020) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,5020) x common factors =2 x 1 = 2
LCM(62,5020) = ( 62 × 5020 ) / 2
LCM(62,5020) = 311240 / 2
LCM(62,5020) = 155620
Lets's calculate GCF of 778,4104
2 | 778, 4104 |
389, 2052 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155620/2
Therefore the LCM of Fractions 62/778,5020/4104 is 77810
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 4104
List of positive integer factors of 4104 that divides 4104 without a remainder.
1,2,3,4,6,8,9,12,18,19,24,27,36,38,54,57,72,76,108,114,152,171,216,228,342,456,513,684,1026,1368,2052,4104
Greatest Common Factor
We found the factors 778,4104 . The biggest common factor number is the GCF number.
So the greatest common factor 778,4104 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 62/778, 5020/4104?
Answer: LCM of Numerators as per given numbers 62/778, 5020/4104 is
LCM of Numerators i.e. for 62,5020 is 155620
GCF of denominators i.e. for 778,4104 is 2.
Thus, LCM of Fractions is 77810.Finally, LCM of Fractions for 62/778, 5020/4104 is 77810.