Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9026/600, 3501/210 quickly i.e. 31600026/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9026/600, 3501/210 is 31600026/30.
LCM(9026/600, 3501/210) = 31600026/30
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9026/600,3501/210
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 9026,3501
Least Common Multiple of Numerators i.e. LCM of 9026,3501 is 31600026.
GCF of Denominators means GCF of 600,210 as per the given fractions.
GCF of 600,210 is 30 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9026,3501
Given numbers has no common factors except 1. So, there LCM is their product i.e 31600026
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 9026,3501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9026,3501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9026,3501) x common factors =1 x 1 = 1
LCM(9026,3501) = ( 9026 × 3501 ) / 1
LCM(9026,3501) = 31600026 / 1
LCM(9026,3501) = 31600026
Lets's calculate GCF of 600,210
2 | 600, 210 |
3 | 300, 105 |
5 | 100, 35 |
20, 7 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31600026/30
Therefore the LCM of Fractions 9026/600,3501/210 is 31600026/30
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
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
Greatest Common Factor
We found the factors 600,210 . The biggest common factor number is the GCF number.
So the greatest common factor 600,210 is 30.
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 9026/600, 3501/210?
Answer: LCM of Numerators as per given numbers 9026/600, 3501/210 is
LCM of Numerators i.e. for 9026,3501 is 31600026
GCF of denominators i.e. for 600,210 is 30.
Thus, LCM of Fractions is 31600026/30.Finally, LCM of Fractions for 9026/600, 3501/210 is 31600026/30.