Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 295/52, 423/6256 quickly i.e. 124785/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 295/52, 423/6256 is 124785/4.
LCM(295/52, 423/6256) = 124785/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 295/52,423/6256
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 295,423
Least Common Multiple of Numerators i.e. LCM of 295,423 is 124785.
GCF of Denominators means GCF of 52,6256 as per the given fractions.
GCF of 52,6256 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 295,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 124785
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 295,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,423) x common factors =1 x 1 = 1
LCM(295,423) = ( 295 × 423 ) / 1
LCM(295,423) = 124785 / 1
LCM(295,423) = 124785
Lets's calculate GCF of 52,6256
2 | 52, 6256 |
2 | 26, 3128 |
13, 1564 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124785/4
Therefore the LCM of Fractions 295/52,423/6256 is 124785/4
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 6256
List of positive integer factors of 6256 that divides 6256 without a remainder.
1,2,4,8,16,17,23,34,46,68,92,136,184,272,368,391,782,1564,3128,6256
Greatest Common Factor
We found the factors 52,6256 . The biggest common factor number is the GCF number.
So the greatest common factor 52,6256 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 295/52, 423/6256?
Answer: LCM of Numerators as per given numbers 295/52, 423/6256 is
LCM of Numerators i.e. for 295,423 is 124785
GCF of denominators i.e. for 52,6256 is 4.
Thus, LCM of Fractions is 124785/4.Finally, LCM of Fractions for 295/52, 423/6256 is 124785/4.