Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/35, 12/93, 21/44, 56/776 quickly i.e. 3864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/35, 12/93, 21/44, 56/776 is 3864.
LCM(46/35, 12/93, 21/44, 56/776) = 3864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/35,12/93,21/44,56/776
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 46,12,21,56
Least Common Multiple of Numerators i.e. LCM of 46,12,21,56 is 3864.
GCF of Denominators means GCF of 35,93,44,776 as per the given fractions.
GCF of 35,93,44,776 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,12,21,56
2 | 46, 12, 21, 56 |
2 | 23, 6, 21, 28 |
3 | 23, 3, 21, 14 |
7 | 23, 1, 7, 14 |
23, 1, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 23 x 1 x 1 x 2 = 3864
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 46,12,21,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,12,21,56) = 1
common factors(in case of two or more numbers have common factors) = 168
GCF(46,12,21,56) x common factors =1 x 168 = 168
LCM(46,12,21,56) = ( 46 × 12 × 21 × 56 ) / 168
LCM(46,12,21,56) = 649152 / 168
LCM(46,12,21,56) = 3864
Lets's calculate GCF of 35,93,44,776
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3864/1
Therefore the LCM of Fractions 46/35,12/93,21/44,56/776 is 3864
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 35,93,44,776 . The biggest common factor number is the GCF number.
So the greatest common factor 35,93,44,776 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 46/35, 12/93, 21/44, 56/776?
Answer: LCM of Numerators as per given numbers 46/35, 12/93, 21/44, 56/776 is
LCM of Numerators i.e. for 46,12,21,56 is 3864
GCF of denominators i.e. for 35,93,44,776 is 1.
Thus, LCM of Fractions is 3864.Finally, LCM of Fractions for 46/35, 12/93, 21/44, 56/776 is 3864.