Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/358, 63/443, 522/196 quickly i.e. 3654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/358, 63/443, 522/196 is 3654.
LCM(63/358, 63/443, 522/196) = 3654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/358,63/443,522/196
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 63,63,522
Least Common Multiple of Numerators i.e. LCM of 63,63,522 is 3654.
GCF of Denominators means GCF of 358,443,196 as per the given fractions.
GCF of 358,443,196 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,63,522
3 | 63, 63, 522 |
3 | 21, 21, 174 |
7 | 7, 7, 58 |
1, 1, 58 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 1 x 1 x 58 = 3654
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 63,63,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,63,522) = 9
common factors(in case of two or more numbers have common factors) = 63
GCF(63,63,522) x common factors =9 x 63 = 567
LCM(63,63,522) = ( 63 × 63 × 522 ) / 567
LCM(63,63,522) = 2071818 / 567
LCM(63,63,522) = 3654
Lets's calculate GCF of 358,443,196
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3654/1
Therefore the LCM of Fractions 63/358,63/443,522/196 is 3654
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 358,443,196 . The biggest common factor number is the GCF number.
So the greatest common factor 358,443,196 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 63/358, 63/443, 522/196?
Answer: LCM of Numerators as per given numbers 63/358, 63/443, 522/196 is
LCM of Numerators i.e. for 63,63,522 is 3654
GCF of denominators i.e. for 358,443,196 is 1.
Thus, LCM of Fractions is 3654.Finally, LCM of Fractions for 63/358, 63/443, 522/196 is 3654.