Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/775, 16/462, 530/947 quickly i.e. 326480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/775, 16/462, 530/947 is 326480.
LCM(77/775, 16/462, 530/947) = 326480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/775,16/462,530/947
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 77,16,530
Least Common Multiple of Numerators i.e. LCM of 77,16,530 is 326480.
GCF of Denominators means GCF of 775,462,947 as per the given fractions.
GCF of 775,462,947 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,16,530
2 | 77, 16, 530 |
77, 8, 265 |
∴ So the LCM of the given numbers is 2 x 77 x 8 x 265 = 326480
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 77,16,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,16,530) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(77,16,530) x common factors =1 x 2 = 2
LCM(77,16,530) = ( 77 × 16 × 530 ) / 2
LCM(77,16,530) = 652960 / 2
LCM(77,16,530) = 326480
Lets's calculate GCF of 775,462,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326480/1
Therefore the LCM of Fractions 77/775,16/462,530/947 is 326480
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 775,462,947 . The biggest common factor number is the GCF number.
So the greatest common factor 775,462,947 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 77/775, 16/462, 530/947?
Answer: LCM of Numerators as per given numbers 77/775, 16/462, 530/947 is
LCM of Numerators i.e. for 77,16,530 is 326480
GCF of denominators i.e. for 775,462,947 is 1.
Thus, LCM of Fractions is 326480.Finally, LCM of Fractions for 77/775, 16/462, 530/947 is 326480.