Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/264, 702/538, 600/448 quickly i.e. 1649700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/264, 702/538, 600/448 is 1649700.
LCM(94/264, 702/538, 600/448) = 1649700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/264,702/538,600/448
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 94,702,600
Least Common Multiple of Numerators i.e. LCM of 94,702,600 is 3299400.
GCF of Denominators means GCF of 264,538,448 as per the given fractions.
GCF of 264,538,448 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,702,600
2 | 94, 702, 600 |
3 | 47, 351, 300 |
47, 117, 100 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 117 x 100 = 3299400
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 94,702,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,702,600) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(94,702,600) x common factors =2 x 6 = 12
LCM(94,702,600) = ( 94 × 702 × 600 ) / 12
LCM(94,702,600) = 39592800 / 12
LCM(94,702,600) = 3299400
Lets's calculate GCF of 264,538,448
2 | 264, 538, 448 |
132, 269, 224 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3299400/2
Therefore the LCM of Fractions 94/264,702/538,600/448 is 1649700
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 264,538,448 . The biggest common factor number is the GCF number.
So the greatest common factor 264,538,448 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 94/264, 702/538, 600/448?
Answer: LCM of Numerators as per given numbers 94/264, 702/538, 600/448 is
LCM of Numerators i.e. for 94,702,600 is 3299400
GCF of denominators i.e. for 264,538,448 is 2.
Thus, LCM of Fractions is 1649700.Finally, LCM of Fractions for 94/264, 702/538, 600/448 is 1649700.