Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/73, 900/95, 733/702 quickly i.e. 1319400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/73, 900/95, 733/702 is 1319400.
LCM(40/73, 900/95, 733/702) = 1319400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/73,900/95,733/702
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 40,900,733
Least Common Multiple of Numerators i.e. LCM of 40,900,733 is 1319400.
GCF of Denominators means GCF of 73,95,702 as per the given fractions.
GCF of 73,95,702 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,900,733
2 | 40, 900, 733 |
2 | 20, 450, 733 |
5 | 10, 225, 733 |
2, 45, 733 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 45 x 733 = 1319400
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 40,900,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,900,733) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(40,900,733) x common factors =1 x 20 = 20
LCM(40,900,733) = ( 40 × 900 × 733 ) / 20
LCM(40,900,733) = 26388000 / 20
LCM(40,900,733) = 1319400
Lets's calculate GCF of 73,95,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1319400/1
Therefore the LCM of Fractions 40/73,900/95,733/702 is 1319400
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 73,95,702 . The biggest common factor number is the GCF number.
So the greatest common factor 73,95,702 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 40/73, 900/95, 733/702?
Answer: LCM of Numerators as per given numbers 40/73, 900/95, 733/702 is
LCM of Numerators i.e. for 40,900,733 is 1319400
GCF of denominators i.e. for 73,95,702 is 1.
Thus, LCM of Fractions is 1319400.Finally, LCM of Fractions for 40/73, 900/95, 733/702 is 1319400.