Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/558, 400/152, 123/660 quickly i.e. 98400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/558, 400/152, 123/660 is 98400.
LCM(64/558, 400/152, 123/660) = 98400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/558,400/152,123/660
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 64,400,123
Least Common Multiple of Numerators i.e. LCM of 64,400,123 is 196800.
GCF of Denominators means GCF of 558,152,660 as per the given fractions.
GCF of 558,152,660 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,400,123
2 | 64, 400, 123 |
2 | 32, 200, 123 |
2 | 16, 100, 123 |
2 | 8, 50, 123 |
4, 25, 123 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 25 x 123 = 196800
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 64,400,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,400,123) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(64,400,123) x common factors =1 x 16 = 16
LCM(64,400,123) = ( 64 × 400 × 123 ) / 16
LCM(64,400,123) = 3148800 / 16
LCM(64,400,123) = 196800
Lets's calculate GCF of 558,152,660
2 | 558, 152, 660 |
279, 76, 330 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196800/2
Therefore the LCM of Fractions 64/558,400/152,123/660 is 98400
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 558,152,660 . The biggest common factor number is the GCF number.
So the greatest common factor 558,152,660 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 64/558, 400/152, 123/660?
Answer: LCM of Numerators as per given numbers 64/558, 400/152, 123/660 is
LCM of Numerators i.e. for 64,400,123 is 196800
GCF of denominators i.e. for 558,152,660 is 2.
Thus, LCM of Fractions is 98400.Finally, LCM of Fractions for 64/558, 400/152, 123/660 is 98400.