Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1416/684, 6914/214 quickly i.e. 2447556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1416/684, 6914/214 is 2447556.
LCM(1416/684, 6914/214) = 2447556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1416/684,6914/214
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 1416,6914
Least Common Multiple of Numerators i.e. LCM of 1416,6914 is 4895112.
GCF of Denominators means GCF of 684,214 as per the given fractions.
GCF of 684,214 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1416,6914
2 | 1416, 6914 |
708, 3457 |
∴ So the LCM of the given numbers is 2 x 708 x 3457 = 4895112
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 1416,6914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1416,6914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1416,6914) x common factors =2 x 1 = 2
LCM(1416,6914) = ( 1416 × 6914 ) / 2
LCM(1416,6914) = 9790224 / 2
LCM(1416,6914) = 4895112
Lets's calculate GCF of 684,214
2 | 684, 214 |
342, 107 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4895112/2
Therefore the LCM of Fractions 1416/684,6914/214 is 2447556
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Greatest Common Factor
We found the factors 684,214 . The biggest common factor number is the GCF number.
So the greatest common factor 684,214 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 1416/684, 6914/214?
Answer: LCM of Numerators as per given numbers 1416/684, 6914/214 is
LCM of Numerators i.e. for 1416,6914 is 4895112
GCF of denominators i.e. for 684,214 is 2.
Thus, LCM of Fractions is 2447556.Finally, LCM of Fractions for 1416/684, 6914/214 is 2447556.