Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 210/74, 905/2548 quickly i.e. 19005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 210/74, 905/2548 is 19005.
LCM(210/74, 905/2548) = 19005
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 210/74,905/2548
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 210,905
Least Common Multiple of Numerators i.e. LCM of 210,905 is 38010.
GCF of Denominators means GCF of 74,2548 as per the given fractions.
GCF of 74,2548 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 210,905
5 | 210, 905 |
42, 181 |
∴ So the LCM of the given numbers is 5 x 42 x 181 = 38010
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 210,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,905) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(210,905) x common factors =5 x 1 = 5
LCM(210,905) = ( 210 × 905 ) / 5
LCM(210,905) = 190050 / 5
LCM(210,905) = 38010
Lets's calculate GCF of 74,2548
2 | 74, 2548 |
37, 1274 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38010/2
Therefore the LCM of Fractions 210/74,905/2548 is 19005
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 2548
List of positive integer factors of 2548 that divides 2548 without a remainder.
1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548
Greatest Common Factor
We found the factors 74,2548 . The biggest common factor number is the GCF number.
So the greatest common factor 74,2548 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 210/74, 905/2548?
Answer: LCM of Numerators as per given numbers 210/74, 905/2548 is
LCM of Numerators i.e. for 210,905 is 38010
GCF of denominators i.e. for 74,2548 is 2.
Thus, LCM of Fractions is 19005.Finally, LCM of Fractions for 210/74, 905/2548 is 19005.