Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 179/87, 352/17, 890/74 quickly i.e. 28038560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 179/87, 352/17, 890/74 is 28038560.
LCM(179/87, 352/17, 890/74) = 28038560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 179/87,352/17,890/74
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 179,352,890
Least Common Multiple of Numerators i.e. LCM of 179,352,890 is 28038560.
GCF of Denominators means GCF of 87,17,74 as per the given fractions.
GCF of 87,17,74 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 179,352,890
2 | 179, 352, 890 |
179, 176, 445 |
∴ So the LCM of the given numbers is 2 x 179 x 176 x 445 = 28038560
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 179,352,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,352,890) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(179,352,890) x common factors =1 x 2 = 2
LCM(179,352,890) = ( 179 × 352 × 890 ) / 2
LCM(179,352,890) = 56077120 / 2
LCM(179,352,890) = 28038560
Lets's calculate GCF of 87,17,74
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28038560/1
Therefore the LCM of Fractions 179/87,352/17,890/74 is 28038560
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Greatest Common Factor
We found the factors 87,17,74 . The biggest common factor number is the GCF number.
So the greatest common factor 87,17,74 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 179/87, 352/17, 890/74?
Answer: LCM of Numerators as per given numbers 179/87, 352/17, 890/74 is
LCM of Numerators i.e. for 179,352,890 is 28038560
GCF of denominators i.e. for 87,17,74 is 1.
Thus, LCM of Fractions is 28038560.Finally, LCM of Fractions for 179/87, 352/17, 890/74 is 28038560.