Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 642/42, 180/14, 694/499 quickly i.e. 6683220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 642/42, 180/14, 694/499 is 6683220.
LCM(642/42, 180/14, 694/499) = 6683220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 642/42,180/14,694/499
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 642,180,694
Least Common Multiple of Numerators i.e. LCM of 642,180,694 is 6683220.
GCF of Denominators means GCF of 42,14,499 as per the given fractions.
GCF of 42,14,499 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 642,180,694
2 | 642, 180, 694 |
3 | 321, 90, 347 |
107, 30, 347 |
∴ So the LCM of the given numbers is 2 x 3 x 107 x 30 x 347 = 6683220
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 642,180,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,180,694) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(642,180,694) x common factors =2 x 6 = 12
LCM(642,180,694) = ( 642 × 180 × 694 ) / 12
LCM(642,180,694) = 80198640 / 12
LCM(642,180,694) = 6683220
Lets's calculate GCF of 42,14,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6683220/1
Therefore the LCM of Fractions 642/42,180/14,694/499 is 6683220
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 42,14,499 . The biggest common factor number is the GCF number.
So the greatest common factor 42,14,499 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 642/42, 180/14, 694/499?
Answer: LCM of Numerators as per given numbers 642/42, 180/14, 694/499 is
LCM of Numerators i.e. for 642,180,694 is 6683220
GCF of denominators i.e. for 42,14,499 is 1.
Thus, LCM of Fractions is 6683220.Finally, LCM of Fractions for 642/42, 180/14, 694/499 is 6683220.