Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 581/90, 528/64, 168/946 quickly i.e. 153384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 581/90, 528/64, 168/946 is 153384.
LCM(581/90, 528/64, 168/946) = 153384
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 581/90,528/64,168/946
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 581,528,168
Least Common Multiple of Numerators i.e. LCM of 581,528,168 is 306768.
GCF of Denominators means GCF of 90,64,946 as per the given fractions.
GCF of 90,64,946 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 581,528,168
2 | 581, 528, 168 |
2 | 581, 264, 84 |
2 | 581, 132, 42 |
3 | 581, 66, 21 |
7 | 581, 22, 7 |
83, 22, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 83 x 22 x 1 = 306768
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 581,528,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,528,168) = 1
common factors(in case of two or more numbers have common factors) = 168
GCF(581,528,168) x common factors =1 x 168 = 168
LCM(581,528,168) = ( 581 × 528 × 168 ) / 168
LCM(581,528,168) = 51537024 / 168
LCM(581,528,168) = 306768
Lets's calculate GCF of 90,64,946
2 | 90, 64, 946 |
45, 32, 473 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306768/2
Therefore the LCM of Fractions 581/90,528/64,168/946 is 153384
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 90,64,946 . The biggest common factor number is the GCF number.
So the greatest common factor 90,64,946 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 581/90, 528/64, 168/946?
Answer: LCM of Numerators as per given numbers 581/90, 528/64, 168/946 is
LCM of Numerators i.e. for 581,528,168 is 306768
GCF of denominators i.e. for 90,64,946 is 2.
Thus, LCM of Fractions is 153384.Finally, LCM of Fractions for 581/90, 528/64, 168/946 is 153384.