Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/898, 838/610, 440/386 quickly i.e. 5438620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/898, 838/610, 440/386 is 5438620.
LCM(59/898, 838/610, 440/386) = 5438620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/898,838/610,440/386
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 59,838,440
Least Common Multiple of Numerators i.e. LCM of 59,838,440 is 10877240.
GCF of Denominators means GCF of 898,610,386 as per the given fractions.
GCF of 898,610,386 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,838,440
2 | 59, 838, 440 |
59, 419, 220 |
∴ So the LCM of the given numbers is 2 x 59 x 419 x 220 = 10877240
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 59,838,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,838,440) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(59,838,440) x common factors =1 x 2 = 2
LCM(59,838,440) = ( 59 × 838 × 440 ) / 2
LCM(59,838,440) = 21754480 / 2
LCM(59,838,440) = 10877240
Lets's calculate GCF of 898,610,386
2 | 898, 610, 386 |
449, 305, 193 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10877240/2
Therefore the LCM of Fractions 59/898,838/610,440/386 is 5438620
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 898,610,386 . The biggest common factor number is the GCF number.
So the greatest common factor 898,610,386 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 59/898, 838/610, 440/386?
Answer: LCM of Numerators as per given numbers 59/898, 838/610, 440/386 is
LCM of Numerators i.e. for 59,838,440 is 10877240
GCF of denominators i.e. for 898,610,386 is 2.
Thus, LCM of Fractions is 5438620.Finally, LCM of Fractions for 59/898, 838/610, 440/386 is 5438620.