Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/704, 186/258, 632/244 quickly i.e. 2262876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/704, 186/258, 632/244 is 2262876.
LCM(77/704, 186/258, 632/244) = 2262876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/704,186/258,632/244
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 77,186,632
Least Common Multiple of Numerators i.e. LCM of 77,186,632 is 4525752.
GCF of Denominators means GCF of 704,258,244 as per the given fractions.
GCF of 704,258,244 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,186,632
2 | 77, 186, 632 |
77, 93, 316 |
∴ So the LCM of the given numbers is 2 x 77 x 93 x 316 = 4525752
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 77,186,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,186,632) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(77,186,632) x common factors =1 x 2 = 2
LCM(77,186,632) = ( 77 × 186 × 632 ) / 2
LCM(77,186,632) = 9051504 / 2
LCM(77,186,632) = 4525752
Lets's calculate GCF of 704,258,244
2 | 704, 258, 244 |
352, 129, 122 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4525752/2
Therefore the LCM of Fractions 77/704,186/258,632/244 is 2262876
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 704,258,244 . The biggest common factor number is the GCF number.
So the greatest common factor 704,258,244 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 77/704, 186/258, 632/244?
Answer: LCM of Numerators as per given numbers 77/704, 186/258, 632/244 is
LCM of Numerators i.e. for 77,186,632 is 4525752
GCF of denominators i.e. for 704,258,244 is 2.
Thus, LCM of Fractions is 2262876.Finally, LCM of Fractions for 77/704, 186/258, 632/244 is 2262876.