Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/681, 972/879, 304/732 quickly i.e. 418608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/681, 972/879, 304/732 is 418608.
LCM(68/681, 972/879, 304/732) = 418608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/681,972/879,304/732
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 68,972,304
Least Common Multiple of Numerators i.e. LCM of 68,972,304 is 1255824.
GCF of Denominators means GCF of 681,879,732 as per the given fractions.
GCF of 681,879,732 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,972,304
2 | 68, 972, 304 |
2 | 34, 486, 152 |
17, 243, 76 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 243 x 76 = 1255824
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 68,972,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,972,304) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(68,972,304) x common factors =4 x 4 = 16
LCM(68,972,304) = ( 68 × 972 × 304 ) / 16
LCM(68,972,304) = 20093184 / 16
LCM(68,972,304) = 1255824
Lets's calculate GCF of 681,879,732
3 | 681, 879, 732 |
227, 293, 244 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1255824/3
Therefore the LCM of Fractions 68/681,972/879,304/732 is 418608
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
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
Greatest Common Factor
We found the factors 681,879,732 . The biggest common factor number is the GCF number.
So the greatest common factor 681,879,732 is 3.
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 68/681, 972/879, 304/732?
Answer: LCM of Numerators as per given numbers 68/681, 972/879, 304/732 is
LCM of Numerators i.e. for 68,972,304 is 1255824
GCF of denominators i.e. for 681,879,732 is 3.
Thus, LCM of Fractions is 418608.Finally, LCM of Fractions for 68/681, 972/879, 304/732 is 418608.