Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4180/758, 9972/2160 quickly i.e. 5210370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4180/758, 9972/2160 is 5210370.
LCM(4180/758, 9972/2160) = 5210370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4180/758,9972/2160
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 4180,9972
Least Common Multiple of Numerators i.e. LCM of 4180,9972 is 10420740.
GCF of Denominators means GCF of 758,2160 as per the given fractions.
GCF of 758,2160 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4180,9972
2 | 4180, 9972 |
2 | 2090, 4986 |
1045, 2493 |
∴ So the LCM of the given numbers is 2 x 2 x 1045 x 2493 = 10420740
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 4180,9972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4180,9972) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4180,9972) x common factors =4 x 1 = 4
LCM(4180,9972) = ( 4180 × 9972 ) / 4
LCM(4180,9972) = 41682960 / 4
LCM(4180,9972) = 10420740
Lets's calculate GCF of 758,2160
2 | 758, 2160 |
379, 1080 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10420740/2
Therefore the LCM of Fractions 4180/758,9972/2160 is 5210370
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 2160
List of positive integer factors of 2160 that divides 2160 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160
Greatest Common Factor
We found the factors 758,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 758,2160 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 4180/758, 9972/2160?
Answer: LCM of Numerators as per given numbers 4180/758, 9972/2160 is
LCM of Numerators i.e. for 4180,9972 is 10420740
GCF of denominators i.e. for 758,2160 is 2.
Thus, LCM of Fractions is 5210370.Finally, LCM of Fractions for 4180/758, 9972/2160 is 5210370.