Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/411, 10/239, 516/840 quickly i.e. 126420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/411, 10/239, 516/840 is 126420.
LCM(49/411, 10/239, 516/840) = 126420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/411,10/239,516/840
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 49,10,516
Least Common Multiple of Numerators i.e. LCM of 49,10,516 is 126420.
GCF of Denominators means GCF of 411,239,840 as per the given fractions.
GCF of 411,239,840 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,10,516
2 | 49, 10, 516 |
49, 5, 258 |
∴ So the LCM of the given numbers is 2 x 49 x 5 x 258 = 126420
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 49,10,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,10,516) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(49,10,516) x common factors =1 x 2 = 2
LCM(49,10,516) = ( 49 × 10 × 516 ) / 2
LCM(49,10,516) = 252840 / 2
LCM(49,10,516) = 126420
Lets's calculate GCF of 411,239,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126420/1
Therefore the LCM of Fractions 49/411,10/239,516/840 is 126420
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 411,239,840 . The biggest common factor number is the GCF number.
So the greatest common factor 411,239,840 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 49/411, 10/239, 516/840?
Answer: LCM of Numerators as per given numbers 49/411, 10/239, 516/840 is
LCM of Numerators i.e. for 49,10,516 is 126420
GCF of denominators i.e. for 411,239,840 is 1.
Thus, LCM of Fractions is 126420.Finally, LCM of Fractions for 49/411, 10/239, 516/840 is 126420.