Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/734, 76/676, 878/428 quickly i.e. 383686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/734, 76/676, 878/428 is 383686.
LCM(46/734, 76/676, 878/428) = 383686
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/734,76/676,878/428
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 46,76,878
Least Common Multiple of Numerators i.e. LCM of 46,76,878 is 767372.
GCF of Denominators means GCF of 734,676,428 as per the given fractions.
GCF of 734,676,428 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,76,878
2 | 46, 76, 878 |
23, 38, 439 |
∴ So the LCM of the given numbers is 2 x 23 x 38 x 439 = 767372
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 46,76,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,76,878) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(46,76,878) x common factors =2 x 2 = 4
LCM(46,76,878) = ( 46 × 76 × 878 ) / 4
LCM(46,76,878) = 3069488 / 4
LCM(46,76,878) = 767372
Lets's calculate GCF of 734,676,428
2 | 734, 676, 428 |
367, 338, 214 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 767372/2
Therefore the LCM of Fractions 46/734,76/676,878/428 is 383686
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Greatest Common Factor
We found the factors 734,676,428 . The biggest common factor number is the GCF number.
So the greatest common factor 734,676,428 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 46/734, 76/676, 878/428?
Answer: LCM of Numerators as per given numbers 46/734, 76/676, 878/428 is
LCM of Numerators i.e. for 46,76,878 is 767372
GCF of denominators i.e. for 734,676,428 is 2.
Thus, LCM of Fractions is 383686.Finally, LCM of Fractions for 46/734, 76/676, 878/428 is 383686.