Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/677, 66/533, 435/348 quickly i.e. 641190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/677, 66/533, 435/348 is 641190.
LCM(67/677, 66/533, 435/348) = 641190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/677,66/533,435/348
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 67,66,435
Least Common Multiple of Numerators i.e. LCM of 67,66,435 is 641190.
GCF of Denominators means GCF of 677,533,348 as per the given fractions.
GCF of 677,533,348 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,66,435
3 | 67, 66, 435 |
67, 22, 145 |
∴ So the LCM of the given numbers is 3 x 67 x 22 x 145 = 641190
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 67,66,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,66,435) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(67,66,435) x common factors =1 x 3 = 3
LCM(67,66,435) = ( 67 × 66 × 435 ) / 3
LCM(67,66,435) = 1923570 / 3
LCM(67,66,435) = 641190
Lets's calculate GCF of 677,533,348
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 641190/1
Therefore the LCM of Fractions 67/677,66/533,435/348 is 641190
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 677,533,348 . The biggest common factor number is the GCF number.
So the greatest common factor 677,533,348 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 67/677, 66/533, 435/348?
Answer: LCM of Numerators as per given numbers 67/677, 66/533, 435/348 is
LCM of Numerators i.e. for 67,66,435 is 641190
GCF of denominators i.e. for 677,533,348 is 1.
Thus, LCM of Fractions is 641190.Finally, LCM of Fractions for 67/677, 66/533, 435/348 is 641190.