Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/870, 20/544, 83/836 quickly i.e. 830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/870, 20/544, 83/836 is 830.
LCM(2/870, 20/544, 83/836) = 830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/870,20/544,83/836
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 2,20,83
Least Common Multiple of Numerators i.e. LCM of 2,20,83 is 1660.
GCF of Denominators means GCF of 870,544,836 as per the given fractions.
GCF of 870,544,836 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,20,83
2 | 2, 20, 83 |
1, 10, 83 |
∴ So the LCM of the given numbers is 2 x 1 x 10 x 83 = 1660
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 2,20,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,20,83) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,20,83) x common factors =1 x 2 = 2
LCM(2,20,83) = ( 2 × 20 × 83 ) / 2
LCM(2,20,83) = 3320 / 2
LCM(2,20,83) = 1660
Lets's calculate GCF of 870,544,836
2 | 870, 544, 836 |
435, 272, 418 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1660/2
Therefore the LCM of Fractions 2/870,20/544,83/836 is 830
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 870,544,836 . The biggest common factor number is the GCF number.
So the greatest common factor 870,544,836 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 2/870, 20/544, 83/836?
Answer: LCM of Numerators as per given numbers 2/870, 20/544, 83/836 is
LCM of Numerators i.e. for 2,20,83 is 1660
GCF of denominators i.e. for 870,544,836 is 2.
Thus, LCM of Fractions is 830.Finally, LCM of Fractions for 2/870, 20/544, 83/836 is 830.