Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/56, 29/76, 74/93, 44/646 quickly i.e. 4485140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/56, 29/76, 74/93, 44/646 is 4485140.
LCM(95/56, 29/76, 74/93, 44/646) = 4485140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/56,29/76,74/93,44/646
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 95,29,74,44
Least Common Multiple of Numerators i.e. LCM of 95,29,74,44 is 4485140.
GCF of Denominators means GCF of 56,76,93,646 as per the given fractions.
GCF of 56,76,93,646 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,29,74,44
2 | 95, 29, 74, 44 |
95, 29, 37, 22 |
∴ So the LCM of the given numbers is 2 x 95 x 29 x 37 x 22 = 4485140
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 95,29,74,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,29,74,44) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(95,29,74,44) x common factors =1 x 2 = 2
LCM(95,29,74,44) = ( 95 × 29 × 74 × 44 ) / 2
LCM(95,29,74,44) = 8970280 / 2
LCM(95,29,74,44) = 4485140
Lets's calculate GCF of 56,76,93,646
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4485140/1
Therefore the LCM of Fractions 95/56,29/76,74/93,44/646 is 4485140
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 56,76,93,646 . The biggest common factor number is the GCF number.
So the greatest common factor 56,76,93,646 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 95/56, 29/76, 74/93, 44/646?
Answer: LCM of Numerators as per given numbers 95/56, 29/76, 74/93, 44/646 is
LCM of Numerators i.e. for 95,29,74,44 is 4485140
GCF of denominators i.e. for 56,76,93,646 is 1.
Thus, LCM of Fractions is 4485140.Finally, LCM of Fractions for 95/56, 29/76, 74/93, 44/646 is 4485140.