Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/51, 64/12, 32/26, 76/908 quickly i.e. 37696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/51, 64/12, 32/26, 76/908 is 37696.
LCM(62/51, 64/12, 32/26, 76/908) = 37696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/51,64/12,32/26,76/908
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 62,64,32,76
Least Common Multiple of Numerators i.e. LCM of 62,64,32,76 is 37696.
GCF of Denominators means GCF of 51,12,26,908 as per the given fractions.
GCF of 51,12,26,908 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,64,32,76
2 | 62, 64, 32, 76 |
2 | 31, 32, 16, 38 |
2 | 31, 8, 16, 19 |
2 | 31, 4, 8, 19 |
2 | 31, 2, 4, 19 |
31, 1, 2, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 31 x 1 x 2 x 19 = 37696
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 62,64,32,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,64,32,76) = 2
common factors(in case of two or more numbers have common factors) = 128
GCF(62,64,32,76) x common factors =2 x 128 = 256
LCM(62,64,32,76) = ( 62 × 64 × 32 × 76 ) / 256
LCM(62,64,32,76) = 9650176 / 256
LCM(62,64,32,76) = 37696
Lets's calculate GCF of 51,12,26,908
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37696/1
Therefore the LCM of Fractions 62/51,64/12,32/26,76/908 is 37696
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 51,12,26,908 . The biggest common factor number is the GCF number.
So the greatest common factor 51,12,26,908 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 62/51, 64/12, 32/26, 76/908?
Answer: LCM of Numerators as per given numbers 62/51, 64/12, 32/26, 76/908 is
LCM of Numerators i.e. for 62,64,32,76 is 37696
GCF of denominators i.e. for 51,12,26,908 is 1.
Thus, LCM of Fractions is 37696.Finally, LCM of Fractions for 62/51, 64/12, 32/26, 76/908 is 37696.