Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 152/436, 2100/5912 quickly i.e. 19950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 152/436, 2100/5912 is 19950.
LCM(152/436, 2100/5912) = 19950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 152/436,2100/5912
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 152,2100
Least Common Multiple of Numerators i.e. LCM of 152,2100 is 79800.
GCF of Denominators means GCF of 436,5912 as per the given fractions.
GCF of 436,5912 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 152,2100
2 | 152, 2100 |
2 | 76, 1050 |
38, 525 |
∴ So the LCM of the given numbers is 2 x 2 x 38 x 525 = 79800
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 152,2100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,2100) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(152,2100) x common factors =4 x 1 = 4
LCM(152,2100) = ( 152 × 2100 ) / 4
LCM(152,2100) = 319200 / 4
LCM(152,2100) = 79800
Lets's calculate GCF of 436,5912
2 | 436, 5912 |
2 | 218, 2956 |
109, 1478 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79800/4
Therefore the LCM of Fractions 152/436,2100/5912 is 19950
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 5912
List of positive integer factors of 5912 that divides 5912 without a remainder.
1,2,4,8,739,1478,2956,5912
Greatest Common Factor
We found the factors 436,5912 . The biggest common factor number is the GCF number.
So the greatest common factor 436,5912 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 152/436, 2100/5912?
Answer: LCM of Numerators as per given numbers 152/436, 2100/5912 is
LCM of Numerators i.e. for 152,2100 is 79800
GCF of denominators i.e. for 436,5912 is 4.
Thus, LCM of Fractions is 19950.Finally, LCM of Fractions for 152/436, 2100/5912 is 19950.