Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/670, 87/880, 468/118 quickly i.e. 33930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/670, 87/880, 468/118 is 33930.
LCM(20/670, 87/880, 468/118) = 33930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/670,87/880,468/118
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 20,87,468
Least Common Multiple of Numerators i.e. LCM of 20,87,468 is 67860.
GCF of Denominators means GCF of 670,880,118 as per the given fractions.
GCF of 670,880,118 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,87,468
2 | 20, 87, 468 |
2 | 10, 87, 234 |
3 | 5, 87, 117 |
5, 29, 39 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 29 x 39 = 67860
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 20,87,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,87,468) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(20,87,468) x common factors =1 x 12 = 12
LCM(20,87,468) = ( 20 × 87 × 468 ) / 12
LCM(20,87,468) = 814320 / 12
LCM(20,87,468) = 67860
Lets's calculate GCF of 670,880,118
2 | 670, 880, 118 |
335, 440, 59 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67860/2
Therefore the LCM of Fractions 20/670,87/880,468/118 is 33930
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 670,880,118 . The biggest common factor number is the GCF number.
So the greatest common factor 670,880,118 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 20/670, 87/880, 468/118?
Answer: LCM of Numerators as per given numbers 20/670, 87/880, 468/118 is
LCM of Numerators i.e. for 20,87,468 is 67860
GCF of denominators i.e. for 670,880,118 is 2.
Thus, LCM of Fractions is 33930.Finally, LCM of Fractions for 20/670, 87/880, 468/118 is 33930.