Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 673/707, 976/405, 862/884 quickly i.e. 283101488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 673/707, 976/405, 862/884 is 283101488.
LCM(673/707, 976/405, 862/884) = 283101488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 673/707,976/405,862/884
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 673,976,862
Least Common Multiple of Numerators i.e. LCM of 673,976,862 is 283101488.
GCF of Denominators means GCF of 707,405,884 as per the given fractions.
GCF of 707,405,884 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 673,976,862
2 | 673, 976, 862 |
673, 488, 431 |
∴ So the LCM of the given numbers is 2 x 673 x 488 x 431 = 283101488
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 673,976,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,976,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(673,976,862) x common factors =1 x 2 = 2
LCM(673,976,862) = ( 673 × 976 × 862 ) / 2
LCM(673,976,862) = 566202976 / 2
LCM(673,976,862) = 283101488
Lets's calculate GCF of 707,405,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283101488/1
Therefore the LCM of Fractions 673/707,976/405,862/884 is 283101488
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 707,405,884 . The biggest common factor number is the GCF number.
So the greatest common factor 707,405,884 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 673/707, 976/405, 862/884?
Answer: LCM of Numerators as per given numbers 673/707, 976/405, 862/884 is
LCM of Numerators i.e. for 673,976,862 is 283101488
GCF of denominators i.e. for 707,405,884 is 1.
Thus, LCM of Fractions is 283101488.Finally, LCM of Fractions for 673/707, 976/405, 862/884 is 283101488.