Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 782/98, 4594/818 quickly i.e. 898127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 782/98, 4594/818 is 898127.
LCM(782/98, 4594/818) = 898127
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 782/98,4594/818
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 782,4594
Least Common Multiple of Numerators i.e. LCM of 782,4594 is 1796254.
GCF of Denominators means GCF of 98,818 as per the given fractions.
GCF of 98,818 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 782,4594
2 | 782, 4594 |
391, 2297 |
∴ So the LCM of the given numbers is 2 x 391 x 2297 = 1796254
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 782,4594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,4594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,4594) x common factors =2 x 1 = 2
LCM(782,4594) = ( 782 × 4594 ) / 2
LCM(782,4594) = 3592508 / 2
LCM(782,4594) = 1796254
Lets's calculate GCF of 98,818
2 | 98, 818 |
49, 409 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1796254/2
Therefore the LCM of Fractions 782/98,4594/818 is 898127
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 98,818 . The biggest common factor number is the GCF number.
So the greatest common factor 98,818 is 2.
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 782/98, 4594/818?
Answer: LCM of Numerators as per given numbers 782/98, 4594/818 is
LCM of Numerators i.e. for 782,4594 is 1796254
GCF of denominators i.e. for 98,818 is 2.
Thus, LCM of Fractions is 898127.Finally, LCM of Fractions for 782/98, 4594/818 is 898127.