Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 859/844, 298/274, 745/447 quickly i.e. 1279910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 859/844, 298/274, 745/447 is 1279910.
LCM(859/844, 298/274, 745/447) = 1279910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 859/844,298/274,745/447
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 859,298,745
Least Common Multiple of Numerators i.e. LCM of 859,298,745 is 1279910.
GCF of Denominators means GCF of 844,274,447 as per the given fractions.
GCF of 844,274,447 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 859,298,745
149 | 859, 298, 745 |
859, 2, 5 |
∴ So the LCM of the given numbers is 149 x 859 x 2 x 5 = 1279910
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 859,298,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,298,745) = 1
common factors(in case of two or more numbers have common factors) = 149
GCF(859,298,745) x common factors =1 x 149 = 149
LCM(859,298,745) = ( 859 × 298 × 745 ) / 149
LCM(859,298,745) = 190706590 / 149
LCM(859,298,745) = 1279910
Lets's calculate GCF of 844,274,447
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1279910/1
Therefore the LCM of Fractions 859/844,298/274,745/447 is 1279910
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Greatest Common Factor
We found the factors 844,274,447 . The biggest common factor number is the GCF number.
So the greatest common factor 844,274,447 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 859/844, 298/274, 745/447?
Answer: LCM of Numerators as per given numbers 859/844, 298/274, 745/447 is
LCM of Numerators i.e. for 859,298,745 is 1279910
GCF of denominators i.e. for 844,274,447 is 1.
Thus, LCM of Fractions is 1279910.Finally, LCM of Fractions for 859/844, 298/274, 745/447 is 1279910.