Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/701, 95/660, 257/705 quickly i.e. 48830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/701, 95/660, 257/705 is 48830.
LCM(10/701, 95/660, 257/705) = 48830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/701,95/660,257/705
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 10,95,257
Least Common Multiple of Numerators i.e. LCM of 10,95,257 is 48830.
GCF of Denominators means GCF of 701,660,705 as per the given fractions.
GCF of 701,660,705 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,95,257
5 | 10, 95, 257 |
2, 19, 257 |
∴ So the LCM of the given numbers is 5 x 2 x 19 x 257 = 48830
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 10,95,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,95,257) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(10,95,257) x common factors =1 x 5 = 5
LCM(10,95,257) = ( 10 × 95 × 257 ) / 5
LCM(10,95,257) = 244150 / 5
LCM(10,95,257) = 48830
Lets's calculate GCF of 701,660,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48830/1
Therefore the LCM of Fractions 10/701,95/660,257/705 is 48830
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 701,660,705 . The biggest common factor number is the GCF number.
So the greatest common factor 701,660,705 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 10/701, 95/660, 257/705?
Answer: LCM of Numerators as per given numbers 10/701, 95/660, 257/705 is
LCM of Numerators i.e. for 10,95,257 is 48830
GCF of denominators i.e. for 701,660,705 is 1.
Thus, LCM of Fractions is 48830.Finally, LCM of Fractions for 10/701, 95/660, 257/705 is 48830.