Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/353, 42/935, 830/643 quickly i.e. 644910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/353, 42/935, 830/643 is 644910.
LCM(74/353, 42/935, 830/643) = 644910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/353,42/935,830/643
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 74,42,830
Least Common Multiple of Numerators i.e. LCM of 74,42,830 is 644910.
GCF of Denominators means GCF of 353,935,643 as per the given fractions.
GCF of 353,935,643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,42,830
2 | 74, 42, 830 |
37, 21, 415 |
∴ So the LCM of the given numbers is 2 x 37 x 21 x 415 = 644910
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 74,42,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,42,830) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,42,830) x common factors =2 x 2 = 4
LCM(74,42,830) = ( 74 × 42 × 830 ) / 4
LCM(74,42,830) = 2579640 / 4
LCM(74,42,830) = 644910
Lets's calculate GCF of 353,935,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644910/1
Therefore the LCM of Fractions 74/353,42/935,830/643 is 644910
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Greatest Common Factor
We found the factors 353,935,643 . The biggest common factor number is the GCF number.
So the greatest common factor 353,935,643 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 74/353, 42/935, 830/643?
Answer: LCM of Numerators as per given numbers 74/353, 42/935, 830/643 is
LCM of Numerators i.e. for 74,42,830 is 644910
GCF of denominators i.e. for 353,935,643 is 1.
Thus, LCM of Fractions is 644910.Finally, LCM of Fractions for 74/353, 42/935, 830/643 is 644910.