Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 420/84, 474/693 quickly i.e. 1580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 420/84, 474/693 is 1580.
LCM(420/84, 474/693) = 1580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 420/84,474/693
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 420,474
Least Common Multiple of Numerators i.e. LCM of 420,474 is 33180.
GCF of Denominators means GCF of 84,693 as per the given fractions.
GCF of 84,693 is 21 as it is the largest common factor for these numbers.
Lets's calculate LCM of 420,474
2 | 420, 474 |
3 | 210, 237 |
70, 79 |
∴ So the LCM of the given numbers is 2 x 3 x 70 x 79 = 33180
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 420,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,474) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(420,474) x common factors =6 x 1 = 6
LCM(420,474) = ( 420 × 474 ) / 6
LCM(420,474) = 199080 / 6
LCM(420,474) = 33180
Lets's calculate GCF of 84,693
3 | 84, 693 |
7 | 28, 231 |
4, 33 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33180/21
Therefore the LCM of Fractions 420/84,474/693 is 1580
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 84,693 . The biggest common factor number is the GCF number.
So the greatest common factor 84,693 is 21.
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 420/84, 474/693?
Answer: LCM of Numerators as per given numbers 420/84, 474/693 is
LCM of Numerators i.e. for 420,474 is 33180
GCF of denominators i.e. for 84,693 is 21.
Thus, LCM of Fractions is 1580.Finally, LCM of Fractions for 420/84, 474/693 is 1580.