Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5149/210, 1952/5609 quickly i.e. 10050848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5149/210, 1952/5609 is 10050848.
LCM(5149/210, 1952/5609) = 10050848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5149/210,1952/5609
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 5149,1952
Least Common Multiple of Numerators i.e. LCM of 5149,1952 is 10050848.
GCF of Denominators means GCF of 210,5609 as per the given fractions.
GCF of 210,5609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5149,1952
Given numbers has no common factors except 1. So, there LCM is their product i.e 10050848
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 5149,1952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5149,1952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5149,1952) x common factors =1 x 1 = 1
LCM(5149,1952) = ( 5149 × 1952 ) / 1
LCM(5149,1952) = 10050848 / 1
LCM(5149,1952) = 10050848
Lets's calculate GCF of 210,5609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10050848/1
Therefore the LCM of Fractions 5149/210,1952/5609 is 10050848
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 5609
List of positive integer factors of 5609 that divides 5609 without a remainder.
1,71,79,5609
Greatest Common Factor
We found the factors 210,5609 . The biggest common factor number is the GCF number.
So the greatest common factor 210,5609 is 1.
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 5149/210, 1952/5609?
Answer: LCM of Numerators as per given numbers 5149/210, 1952/5609 is
LCM of Numerators i.e. for 5149,1952 is 10050848
GCF of denominators i.e. for 210,5609 is 1.
Thus, LCM of Fractions is 10050848.Finally, LCM of Fractions for 5149/210, 1952/5609 is 10050848.