Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 562/94, 455/82, 743/780 quickly i.e. 94996265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 562/94, 455/82, 743/780 is 94996265.
LCM(562/94, 455/82, 743/780) = 94996265
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 562/94,455/82,743/780
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 562,455,743
Least Common Multiple of Numerators i.e. LCM of 562,455,743 is 189992530.
GCF of Denominators means GCF of 94,82,780 as per the given fractions.
GCF of 94,82,780 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 562,455,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 189992530
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 562,455,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,455,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,455,743) x common factors =1 x 1 = 1
LCM(562,455,743) = ( 562 × 455 × 743 ) / 1
LCM(562,455,743) = 189992530 / 1
LCM(562,455,743) = 189992530
Lets's calculate GCF of 94,82,780
2 | 94, 82, 780 |
47, 41, 390 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189992530/2
Therefore the LCM of Fractions 562/94,455/82,743/780 is 94996265
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 94,82,780 . The biggest common factor number is the GCF number.
So the greatest common factor 94,82,780 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 562/94, 455/82, 743/780?
Answer: LCM of Numerators as per given numbers 562/94, 455/82, 743/780 is
LCM of Numerators i.e. for 562,455,743 is 189992530
GCF of denominators i.e. for 94,82,780 is 2.
Thus, LCM of Fractions is 94996265.Finally, LCM of Fractions for 562/94, 455/82, 743/780 is 94996265.