Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/98, 60/36, 83/93, 93/478 quickly i.e. 2624460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/98, 60/36, 83/93, 93/478 is 2624460.
LCM(51/98, 60/36, 83/93, 93/478) = 2624460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/98,60/36,83/93,93/478
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 51,60,83,93
Least Common Multiple of Numerators i.e. LCM of 51,60,83,93 is 2624460.
GCF of Denominators means GCF of 98,36,93,478 as per the given fractions.
GCF of 98,36,93,478 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,60,83,93
3 | 51, 60, 83, 93 |
17, 20, 83, 31 |
∴ So the LCM of the given numbers is 3 x 17 x 20 x 83 x 31 = 2624460
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 51,60,83,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,60,83,93) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(51,60,83,93) x common factors =1 x 9 = 9
LCM(51,60,83,93) = ( 51 × 60 × 83 × 93 ) / 9
LCM(51,60,83,93) = 23620140 / 9
LCM(51,60,83,93) = 2624460
Lets's calculate GCF of 98,36,93,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2624460/1
Therefore the LCM of Fractions 51/98,60/36,83/93,93/478 is 2624460
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 98,36,93,478 . The biggest common factor number is the GCF number.
So the greatest common factor 98,36,93,478 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 51/98, 60/36, 83/93, 93/478?
Answer: LCM of Numerators as per given numbers 51/98, 60/36, 83/93, 93/478 is
LCM of Numerators i.e. for 51,60,83,93 is 2624460
GCF of denominators i.e. for 98,36,93,478 is 1.
Thus, LCM of Fractions is 2624460.Finally, LCM of Fractions for 51/98, 60/36, 83/93, 93/478 is 2624460.