Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/90, 464/66, 735/642 quickly i.e. 56840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/90, 464/66, 735/642 is 56840.
LCM(40/90, 464/66, 735/642) = 56840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/90,464/66,735/642
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 40,464,735
Least Common Multiple of Numerators i.e. LCM of 40,464,735 is 341040.
GCF of Denominators means GCF of 90,66,642 as per the given fractions.
GCF of 90,66,642 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,464,735
2 | 40, 464, 735 |
2 | 20, 232, 735 |
2 | 10, 116, 735 |
5 | 5, 58, 735 |
1, 58, 147 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 58 x 147 = 341040
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 40,464,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,464,735) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(40,464,735) x common factors =1 x 40 = 40
LCM(40,464,735) = ( 40 × 464 × 735 ) / 40
LCM(40,464,735) = 13641600 / 40
LCM(40,464,735) = 341040
Lets's calculate GCF of 90,66,642
2 | 90, 66, 642 |
3 | 45, 33, 321 |
15, 11, 107 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341040/6
Therefore the LCM of Fractions 40/90,464/66,735/642 is 56840
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 90,66,642 . The biggest common factor number is the GCF number.
So the greatest common factor 90,66,642 is 6.
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 40/90, 464/66, 735/642?
Answer: LCM of Numerators as per given numbers 40/90, 464/66, 735/642 is
LCM of Numerators i.e. for 40,464,735 is 341040
GCF of denominators i.e. for 90,66,642 is 6.
Thus, LCM of Fractions is 56840.Finally, LCM of Fractions for 40/90, 464/66, 735/642 is 56840.