Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/26, 62/98, 74/964 quickly i.e. 26381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/26, 62/98, 74/964 is 26381.
LCM(46/26, 62/98, 74/964) = 26381
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/26,62/98,74/964
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 46,62,74
Least Common Multiple of Numerators i.e. LCM of 46,62,74 is 52762.
GCF of Denominators means GCF of 26,98,964 as per the given fractions.
GCF of 26,98,964 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,62,74
2 | 46, 62, 74 |
23, 31, 37 |
∴ So the LCM of the given numbers is 2 x 23 x 31 x 37 = 52762
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 46,62,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,62,74) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(46,62,74) x common factors =2 x 2 = 4
LCM(46,62,74) = ( 46 × 62 × 74 ) / 4
LCM(46,62,74) = 211048 / 4
LCM(46,62,74) = 52762
Lets's calculate GCF of 26,98,964
2 | 26, 98, 964 |
13, 49, 482 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52762/2
Therefore the LCM of Fractions 46/26,62/98,74/964 is 26381
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 26,98,964 . The biggest common factor number is the GCF number.
So the greatest common factor 26,98,964 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 46/26, 62/98, 74/964?
Answer: LCM of Numerators as per given numbers 46/26, 62/98, 74/964 is
LCM of Numerators i.e. for 46,62,74 is 52762
GCF of denominators i.e. for 26,98,964 is 2.
Thus, LCM of Fractions is 26381.Finally, LCM of Fractions for 46/26, 62/98, 74/964 is 26381.