Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/42, 554/42, 534/660 quickly i.e. 9417446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/42, 554/42, 534/660 is 9417446.
LCM(764/42, 554/42, 534/660) = 9417446
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/42,554/42,534/660
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 764,554,534
Least Common Multiple of Numerators i.e. LCM of 764,554,534 is 56504676.
GCF of Denominators means GCF of 42,42,660 as per the given fractions.
GCF of 42,42,660 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,554,534
2 | 764, 554, 534 |
382, 277, 267 |
∴ So the LCM of the given numbers is 2 x 382 x 277 x 267 = 56504676
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 764,554,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,554,534) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(764,554,534) x common factors =2 x 2 = 4
LCM(764,554,534) = ( 764 × 554 × 534 ) / 4
LCM(764,554,534) = 226018704 / 4
LCM(764,554,534) = 56504676
Lets's calculate GCF of 42,42,660
2 | 42, 42, 660 |
3 | 21, 21, 330 |
7, 7, 110 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56504676/6
Therefore the LCM of Fractions 764/42,554/42,534/660 is 9417446
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
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 42,42,660 . The biggest common factor number is the GCF number.
So the greatest common factor 42,42,660 is 6.
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 764/42, 554/42, 534/660?
Answer: LCM of Numerators as per given numbers 764/42, 554/42, 534/660 is
LCM of Numerators i.e. for 764,554,534 is 56504676
GCF of denominators i.e. for 42,42,660 is 6.
Thus, LCM of Fractions is 9417446.Finally, LCM of Fractions for 764/42, 554/42, 534/660 is 9417446.