Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 778/36, 620/3954 quickly i.e. 241180/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 778/36, 620/3954 is 241180/6.
LCM(778/36, 620/3954) = 241180/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 778/36,620/3954
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 778,620
Least Common Multiple of Numerators i.e. LCM of 778,620 is 241180.
GCF of Denominators means GCF of 36,3954 as per the given fractions.
GCF of 36,3954 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 778,620
2 | 778, 620 |
389, 310 |
∴ So the LCM of the given numbers is 2 x 389 x 310 = 241180
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 778,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,620) x common factors =2 x 1 = 2
LCM(778,620) = ( 778 × 620 ) / 2
LCM(778,620) = 482360 / 2
LCM(778,620) = 241180
Lets's calculate GCF of 36,3954
2 | 36, 3954 |
3 | 18, 1977 |
6, 659 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241180/6
Therefore the LCM of Fractions 778/36,620/3954 is 241180/6
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 3954
List of positive integer factors of 3954 that divides 3954 without a remainder.
1,2,3,6,659,1318,1977,3954
Greatest Common Factor
We found the factors 36,3954 . The biggest common factor number is the GCF number.
So the greatest common factor 36,3954 is 6.
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 778/36, 620/3954?
Answer: LCM of Numerators as per given numbers 778/36, 620/3954 is
LCM of Numerators i.e. for 778,620 is 241180
GCF of denominators i.e. for 36,3954 is 6.
Thus, LCM of Fractions is 241180/6.Finally, LCM of Fractions for 778/36, 620/3954 is 241180/6.