Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 164/68, 870/33, 609/532 quickly i.e. 499380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 164/68, 870/33, 609/532 is 499380.
LCM(164/68, 870/33, 609/532) = 499380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 164/68,870/33,609/532
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 164,870,609
Least Common Multiple of Numerators i.e. LCM of 164,870,609 is 499380.
GCF of Denominators means GCF of 68,33,532 as per the given fractions.
GCF of 68,33,532 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 164,870,609
2 | 164, 870, 609 |
3 | 82, 435, 609 |
29 | 82, 145, 203 |
82, 5, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 82 x 5 x 7 = 499380
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 164,870,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,870,609) = 1
common factors(in case of two or more numbers have common factors) = 174
GCF(164,870,609) x common factors =1 x 174 = 174
LCM(164,870,609) = ( 164 × 870 × 609 ) / 174
LCM(164,870,609) = 86892120 / 174
LCM(164,870,609) = 499380
Lets's calculate GCF of 68,33,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499380/1
Therefore the LCM of Fractions 164/68,870/33,609/532 is 499380
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 68,33,532 . The biggest common factor number is the GCF number.
So the greatest common factor 68,33,532 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 164/68, 870/33, 609/532?
Answer: LCM of Numerators as per given numbers 164/68, 870/33, 609/532 is
LCM of Numerators i.e. for 164,870,609 is 499380
GCF of denominators i.e. for 68,33,532 is 1.
Thus, LCM of Fractions is 499380.Finally, LCM of Fractions for 164/68, 870/33, 609/532 is 499380.