Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 776/85, 680/44, 544/256 quickly i.e. 263840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 776/85, 680/44, 544/256 is 263840.
LCM(776/85, 680/44, 544/256) = 263840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 776/85,680/44,544/256
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 776,680,544
Least Common Multiple of Numerators i.e. LCM of 776,680,544 is 263840.
GCF of Denominators means GCF of 85,44,256 as per the given fractions.
GCF of 85,44,256 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 776,680,544
2 | 776, 680, 544 |
2 | 388, 340, 272 |
2 | 194, 170, 136 |
17 | 97, 85, 68 |
97, 5, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 97 x 5 x 4 = 263840
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 776,680,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,680,544) = 8
common factors(in case of two or more numbers have common factors) = 136
GCF(776,680,544) x common factors =8 x 136 = 1088
LCM(776,680,544) = ( 776 × 680 × 544 ) / 1088
LCM(776,680,544) = 287057920 / 1088
LCM(776,680,544) = 263840
Lets's calculate GCF of 85,44,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263840/1
Therefore the LCM of Fractions 776/85,680/44,544/256 is 263840
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 85,44,256 . The biggest common factor number is the GCF number.
So the greatest common factor 85,44,256 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 776/85, 680/44, 544/256?
Answer: LCM of Numerators as per given numbers 776/85, 680/44, 544/256 is
LCM of Numerators i.e. for 776,680,544 is 263840
GCF of denominators i.e. for 85,44,256 is 1.
Thus, LCM of Fractions is 263840.Finally, LCM of Fractions for 776/85, 680/44, 544/256 is 263840.