Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 837/720, 7138/801 quickly i.e. 663834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 837/720, 7138/801 is 663834.
LCM(837/720, 7138/801) = 663834
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 837/720,7138/801
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 837,7138
Least Common Multiple of Numerators i.e. LCM of 837,7138 is 5974506.
GCF of Denominators means GCF of 720,801 as per the given fractions.
GCF of 720,801 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 837,7138
Given numbers has no common factors except 1. So, there LCM is their product i.e 5974506
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 837,7138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,7138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,7138) x common factors =1 x 1 = 1
LCM(837,7138) = ( 837 × 7138 ) / 1
LCM(837,7138) = 5974506 / 1
LCM(837,7138) = 5974506
Lets's calculate GCF of 720,801
3 | 720, 801 |
3 | 240, 267 |
80, 89 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5974506/9
Therefore the LCM of Fractions 837/720,7138/801 is 663834
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 720,801 . The biggest common factor number is the GCF number.
So the greatest common factor 720,801 is 9.
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 837/720, 7138/801?
Answer: LCM of Numerators as per given numbers 837/720, 7138/801 is
LCM of Numerators i.e. for 837,7138 is 5974506
GCF of denominators i.e. for 720,801 is 9.
Thus, LCM of Fractions is 663834.Finally, LCM of Fractions for 837/720, 7138/801 is 663834.