Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 296/732, 804/853, 632/496 quickly i.e. 4700184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 296/732, 804/853, 632/496 is 4700184.
LCM(296/732, 804/853, 632/496) = 4700184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 296/732,804/853,632/496
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 296,804,632
Least Common Multiple of Numerators i.e. LCM of 296,804,632 is 4700184.
GCF of Denominators means GCF of 732,853,496 as per the given fractions.
GCF of 732,853,496 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 296,804,632
2 | 296, 804, 632 |
2 | 148, 402, 316 |
2 | 74, 201, 158 |
37, 201, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 201 x 79 = 4700184
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 296,804,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,804,632) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(296,804,632) x common factors =4 x 8 = 32
LCM(296,804,632) = ( 296 × 804 × 632 ) / 32
LCM(296,804,632) = 150405888 / 32
LCM(296,804,632) = 4700184
Lets's calculate GCF of 732,853,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4700184/1
Therefore the LCM of Fractions 296/732,804/853,632/496 is 4700184
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 732,853,496 . The biggest common factor number is the GCF number.
So the greatest common factor 732,853,496 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 296/732, 804/853, 632/496?
Answer: LCM of Numerators as per given numbers 296/732, 804/853, 632/496 is
LCM of Numerators i.e. for 296,804,632 is 4700184
GCF of denominators i.e. for 732,853,496 is 1.
Thus, LCM of Fractions is 4700184.Finally, LCM of Fractions for 296/732, 804/853, 632/496 is 4700184.