Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/23, 170/87, 630/276 quickly i.e. 21420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/23, 170/87, 630/276 is 21420.
LCM(68/23, 170/87, 630/276) = 21420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/23,170/87,630/276
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 68,170,630
Least Common Multiple of Numerators i.e. LCM of 68,170,630 is 21420.
GCF of Denominators means GCF of 23,87,276 as per the given fractions.
GCF of 23,87,276 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,170,630
2 | 68, 170, 630 |
5 | 34, 85, 315 |
17 | 34, 17, 63 |
2, 1, 63 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 2 x 1 x 63 = 21420
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 68,170,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,170,630) = 2
common factors(in case of two or more numbers have common factors) = 170
GCF(68,170,630) x common factors =2 x 170 = 340
LCM(68,170,630) = ( 68 × 170 × 630 ) / 340
LCM(68,170,630) = 7282800 / 340
LCM(68,170,630) = 21420
Lets's calculate GCF of 23,87,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21420/1
Therefore the LCM of Fractions 68/23,170/87,630/276 is 21420
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 23,87,276 . The biggest common factor number is the GCF number.
So the greatest common factor 23,87,276 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 68/23, 170/87, 630/276?
Answer: LCM of Numerators as per given numbers 68/23, 170/87, 630/276 is
LCM of Numerators i.e. for 68,170,630 is 21420
GCF of denominators i.e. for 23,87,276 is 1.
Thus, LCM of Fractions is 21420.Finally, LCM of Fractions for 68/23, 170/87, 630/276 is 21420.