Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/594, 947/540, 522/701 quickly i.e. 38063718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/594, 947/540, 522/701 is 38063718.
LCM(77/594, 947/540, 522/701) = 38063718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/594,947/540,522/701
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 77,947,522
Least Common Multiple of Numerators i.e. LCM of 77,947,522 is 38063718.
GCF of Denominators means GCF of 594,540,701 as per the given fractions.
GCF of 594,540,701 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,947,522
Given numbers has no common factors except 1. So, there LCM is their product i.e 38063718
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 77,947,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,947,522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,947,522) x common factors =1 x 1 = 1
LCM(77,947,522) = ( 77 × 947 × 522 ) / 1
LCM(77,947,522) = 38063718 / 1
LCM(77,947,522) = 38063718
Lets's calculate GCF of 594,540,701
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38063718/1
Therefore the LCM of Fractions 77/594,947/540,522/701 is 38063718
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Greatest Common Factor
We found the factors 594,540,701 . The biggest common factor number is the GCF number.
So the greatest common factor 594,540,701 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 77/594, 947/540, 522/701?
Answer: LCM of Numerators as per given numbers 77/594, 947/540, 522/701 is
LCM of Numerators i.e. for 77,947,522 is 38063718
GCF of denominators i.e. for 594,540,701 is 1.
Thus, LCM of Fractions is 38063718.Finally, LCM of Fractions for 77/594, 947/540, 522/701 is 38063718.