Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 422/92, 4237/620 quickly i.e. 1788014/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 422/92, 4237/620 is 1788014/4.
LCM(422/92, 4237/620) = 1788014/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 422/92,4237/620
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 422,4237
Least Common Multiple of Numerators i.e. LCM of 422,4237 is 1788014.
GCF of Denominators means GCF of 92,620 as per the given fractions.
GCF of 92,620 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 422,4237
Given numbers has no common factors except 1. So, there LCM is their product i.e 1788014
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 422,4237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,4237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,4237) x common factors =1 x 1 = 1
LCM(422,4237) = ( 422 × 4237 ) / 1
LCM(422,4237) = 1788014 / 1
LCM(422,4237) = 1788014
Lets's calculate GCF of 92,620
2 | 92, 620 |
2 | 46, 310 |
23, 155 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1788014/4
Therefore the LCM of Fractions 422/92,4237/620 is 1788014/4
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 92,620 . The biggest common factor number is the GCF number.
So the greatest common factor 92,620 is 4.
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 422/92, 4237/620?
Answer: LCM of Numerators as per given numbers 422/92, 4237/620 is
LCM of Numerators i.e. for 422,4237 is 1788014
GCF of denominators i.e. for 92,620 is 4.
Thus, LCM of Fractions is 1788014/4.Finally, LCM of Fractions for 422/92, 4237/620 is 1788014/4.