Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/77, 42/95, 218/128 quickly i.e. 59514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/77, 42/95, 218/128 is 59514.
LCM(39/77, 42/95, 218/128) = 59514
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/77,42/95,218/128
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 39,42,218
Least Common Multiple of Numerators i.e. LCM of 39,42,218 is 59514.
GCF of Denominators means GCF of 77,95,128 as per the given fractions.
GCF of 77,95,128 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,42,218
2 | 39, 42, 218 |
3 | 39, 21, 109 |
13, 7, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 109 = 59514
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 39,42,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,42,218) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(39,42,218) x common factors =1 x 6 = 6
LCM(39,42,218) = ( 39 × 42 × 218 ) / 6
LCM(39,42,218) = 357084 / 6
LCM(39,42,218) = 59514
Lets's calculate GCF of 77,95,128
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59514/1
Therefore the LCM of Fractions 39/77,42/95,218/128 is 59514
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 77,95,128 . The biggest common factor number is the GCF number.
So the greatest common factor 77,95,128 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 39/77, 42/95, 218/128?
Answer: LCM of Numerators as per given numbers 39/77, 42/95, 218/128 is
LCM of Numerators i.e. for 39,42,218 is 59514
GCF of denominators i.e. for 77,95,128 is 1.
Thus, LCM of Fractions is 59514.Finally, LCM of Fractions for 39/77, 42/95, 218/128 is 59514.