Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 629/98, 808/11, 434/52 quickly i.e. 110286344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 629/98, 808/11, 434/52 is 110286344.
LCM(629/98, 808/11, 434/52) = 110286344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 629/98,808/11,434/52
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 629,808,434
Least Common Multiple of Numerators i.e. LCM of 629,808,434 is 110286344.
GCF of Denominators means GCF of 98,11,52 as per the given fractions.
GCF of 98,11,52 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 629,808,434
2 | 629, 808, 434 |
629, 404, 217 |
∴ So the LCM of the given numbers is 2 x 629 x 404 x 217 = 110286344
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 629,808,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,808,434) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(629,808,434) x common factors =1 x 2 = 2
LCM(629,808,434) = ( 629 × 808 × 434 ) / 2
LCM(629,808,434) = 220572688 / 2
LCM(629,808,434) = 110286344
Lets's calculate GCF of 98,11,52
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110286344/1
Therefore the LCM of Fractions 629/98,808/11,434/52 is 110286344
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Greatest Common Factor
We found the factors 98,11,52 . The biggest common factor number is the GCF number.
So the greatest common factor 98,11,52 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 629/98, 808/11, 434/52?
Answer: LCM of Numerators as per given numbers 629/98, 808/11, 434/52 is
LCM of Numerators i.e. for 629,808,434 is 110286344
GCF of denominators i.e. for 98,11,52 is 1.
Thus, LCM of Fractions is 110286344.Finally, LCM of Fractions for 629/98, 808/11, 434/52 is 110286344.