Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/130, 524/434, 941/764 quickly i.e. 11587474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/130, 524/434, 941/764 is 11587474.
LCM(94/130, 524/434, 941/764) = 11587474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/130,524/434,941/764
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 94,524,941
Least Common Multiple of Numerators i.e. LCM of 94,524,941 is 23174948.
GCF of Denominators means GCF of 130,434,764 as per the given fractions.
GCF of 130,434,764 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,524,941
2 | 94, 524, 941 |
47, 262, 941 |
∴ So the LCM of the given numbers is 2 x 47 x 262 x 941 = 23174948
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 94,524,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,524,941) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,524,941) x common factors =1 x 2 = 2
LCM(94,524,941) = ( 94 × 524 × 941 ) / 2
LCM(94,524,941) = 46349896 / 2
LCM(94,524,941) = 23174948
Lets's calculate GCF of 130,434,764
2 | 130, 434, 764 |
65, 217, 382 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23174948/2
Therefore the LCM of Fractions 94/130,524/434,941/764 is 11587474
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Greatest Common Factor
We found the factors 130,434,764 . The biggest common factor number is the GCF number.
So the greatest common factor 130,434,764 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 94/130, 524/434, 941/764?
Answer: LCM of Numerators as per given numbers 94/130, 524/434, 941/764 is
LCM of Numerators i.e. for 94,524,941 is 23174948
GCF of denominators i.e. for 130,434,764 is 2.
Thus, LCM of Fractions is 11587474.Finally, LCM of Fractions for 94/130, 524/434, 941/764 is 11587474.