Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/715, 602/106, 857/480 quickly i.e. 3611398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/715, 602/106, 857/480 is 3611398.
LCM(49/715, 602/106, 857/480) = 3611398
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/715,602/106,857/480
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 49,602,857
Least Common Multiple of Numerators i.e. LCM of 49,602,857 is 3611398.
GCF of Denominators means GCF of 715,106,480 as per the given fractions.
GCF of 715,106,480 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,602,857
7 | 49, 602, 857 |
7, 86, 857 |
∴ So the LCM of the given numbers is 7 x 7 x 86 x 857 = 3611398
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 49,602,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,602,857) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(49,602,857) x common factors =1 x 7 = 7
LCM(49,602,857) = ( 49 × 602 × 857 ) / 7
LCM(49,602,857) = 25279786 / 7
LCM(49,602,857) = 3611398
Lets's calculate GCF of 715,106,480
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3611398/1
Therefore the LCM of Fractions 49/715,602/106,857/480 is 3611398
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 715,106,480 . The biggest common factor number is the GCF number.
So the greatest common factor 715,106,480 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 49/715, 602/106, 857/480?
Answer: LCM of Numerators as per given numbers 49/715, 602/106, 857/480 is
LCM of Numerators i.e. for 49,602,857 is 3611398
GCF of denominators i.e. for 715,106,480 is 1.
Thus, LCM of Fractions is 3611398.Finally, LCM of Fractions for 49/715, 602/106, 857/480 is 3611398.