Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/984, 124/886, 337/710 quickly i.e. 104470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/984, 124/886, 337/710 is 104470.
LCM(10/984, 124/886, 337/710) = 104470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/984,124/886,337/710
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 10,124,337
Least Common Multiple of Numerators i.e. LCM of 10,124,337 is 208940.
GCF of Denominators means GCF of 984,886,710 as per the given fractions.
GCF of 984,886,710 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,124,337
2 | 10, 124, 337 |
5, 62, 337 |
∴ So the LCM of the given numbers is 2 x 5 x 62 x 337 = 208940
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 10,124,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,124,337) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(10,124,337) x common factors =1 x 2 = 2
LCM(10,124,337) = ( 10 × 124 × 337 ) / 2
LCM(10,124,337) = 417880 / 2
LCM(10,124,337) = 208940
Lets's calculate GCF of 984,886,710
2 | 984, 886, 710 |
492, 443, 355 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208940/2
Therefore the LCM of Fractions 10/984,124/886,337/710 is 104470
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 984,886,710 . The biggest common factor number is the GCF number.
So the greatest common factor 984,886,710 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 10/984, 124/886, 337/710?
Answer: LCM of Numerators as per given numbers 10/984, 124/886, 337/710 is
LCM of Numerators i.e. for 10,124,337 is 208940
GCF of denominators i.e. for 984,886,710 is 2.
Thus, LCM of Fractions is 104470.Finally, LCM of Fractions for 10/984, 124/886, 337/710 is 104470.