Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 420/42, 827/5181 quickly i.e. 115780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 420/42, 827/5181 is 115780.
LCM(420/42, 827/5181) = 115780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 420/42,827/5181
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 420,827
Least Common Multiple of Numerators i.e. LCM of 420,827 is 347340.
GCF of Denominators means GCF of 42,5181 as per the given fractions.
GCF of 42,5181 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 420,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 347340
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 420,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,827) x common factors =1 x 1 = 1
LCM(420,827) = ( 420 × 827 ) / 1
LCM(420,827) = 347340 / 1
LCM(420,827) = 347340
Lets's calculate GCF of 42,5181
3 | 42, 5181 |
14, 1727 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347340/3
Therefore the LCM of Fractions 420/42,827/5181 is 115780
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 5181
List of positive integer factors of 5181 that divides 5181 without a remainder.
1,3,11,33,157,471,1727,5181
Greatest Common Factor
We found the factors 42,5181 . The biggest common factor number is the GCF number.
So the greatest common factor 42,5181 is 3.
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 420/42, 827/5181?
Answer: LCM of Numerators as per given numbers 420/42, 827/5181 is
LCM of Numerators i.e. for 420,827 is 347340
GCF of denominators i.e. for 42,5181 is 3.
Thus, LCM of Fractions is 115780.Finally, LCM of Fractions for 420/42, 827/5181 is 115780.