Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 397/87, 602/17, 416/154 quickly i.e. 49710752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 397/87, 602/17, 416/154 is 49710752.
LCM(397/87, 602/17, 416/154) = 49710752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 397/87,602/17,416/154
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 397,602,416
Least Common Multiple of Numerators i.e. LCM of 397,602,416 is 49710752.
GCF of Denominators means GCF of 87,17,154 as per the given fractions.
GCF of 87,17,154 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 397,602,416
2 | 397, 602, 416 |
397, 301, 208 |
∴ So the LCM of the given numbers is 2 x 397 x 301 x 208 = 49710752
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 397,602,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,602,416) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(397,602,416) x common factors =1 x 2 = 2
LCM(397,602,416) = ( 397 × 602 × 416 ) / 2
LCM(397,602,416) = 99421504 / 2
LCM(397,602,416) = 49710752
Lets's calculate GCF of 87,17,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49710752/1
Therefore the LCM of Fractions 397/87,602/17,416/154 is 49710752
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 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 87,17,154 . The biggest common factor number is the GCF number.
So the greatest common factor 87,17,154 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 397/87, 602/17, 416/154?
Answer: LCM of Numerators as per given numbers 397/87, 602/17, 416/154 is
LCM of Numerators i.e. for 397,602,416 is 49710752
GCF of denominators i.e. for 87,17,154 is 1.
Thus, LCM of Fractions is 49710752.Finally, LCM of Fractions for 397/87, 602/17, 416/154 is 49710752.