Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 781/27, 120/6510 quickly i.e. 31240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 781/27, 120/6510 is 31240.
LCM(781/27, 120/6510) = 31240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 781/27,120/6510
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 781,120
Least Common Multiple of Numerators i.e. LCM of 781,120 is 93720.
GCF of Denominators means GCF of 27,6510 as per the given fractions.
GCF of 27,6510 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 781,120
Given numbers has no common factors except 1. So, there LCM is their product i.e 93720
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 781,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,120) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,120) x common factors =1 x 1 = 1
LCM(781,120) = ( 781 × 120 ) / 1
LCM(781,120) = 93720 / 1
LCM(781,120) = 93720
Lets's calculate GCF of 27,6510
3 | 27, 6510 |
9, 2170 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93720/3
Therefore the LCM of Fractions 781/27,120/6510 is 31240
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 6510
List of positive integer factors of 6510 that divides 6510 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Greatest Common Factor
We found the factors 27,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 27,6510 is 3.
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 781/27, 120/6510?
Answer: LCM of Numerators as per given numbers 781/27, 120/6510 is
LCM of Numerators i.e. for 781,120 is 93720
GCF of denominators i.e. for 27,6510 is 3.
Thus, LCM of Fractions is 31240.Finally, LCM of Fractions for 781/27, 120/6510 is 31240.