Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/395, 295/809, 780/102 quickly i.e. 644280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/395, 295/809, 780/102 is 644280.
LCM(56/395, 295/809, 780/102) = 644280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/395,295/809,780/102
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 56,295,780
Least Common Multiple of Numerators i.e. LCM of 56,295,780 is 644280.
GCF of Denominators means GCF of 395,809,102 as per the given fractions.
GCF of 395,809,102 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,295,780
2 | 56, 295, 780 |
2 | 28, 295, 390 |
5 | 14, 295, 195 |
14, 59, 39 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 14 x 59 x 39 = 644280
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 56,295,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,295,780) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(56,295,780) x common factors =1 x 20 = 20
LCM(56,295,780) = ( 56 × 295 × 780 ) / 20
LCM(56,295,780) = 12885600 / 20
LCM(56,295,780) = 644280
Lets's calculate GCF of 395,809,102
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644280/1
Therefore the LCM of Fractions 56/395,295/809,780/102 is 644280
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 395,809,102 . The biggest common factor number is the GCF number.
So the greatest common factor 395,809,102 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 56/395, 295/809, 780/102?
Answer: LCM of Numerators as per given numbers 56/395, 295/809, 780/102 is
LCM of Numerators i.e. for 56,295,780 is 644280
GCF of denominators i.e. for 395,809,102 is 1.
Thus, LCM of Fractions is 644280.Finally, LCM of Fractions for 56/395, 295/809, 780/102 is 644280.