Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/774, 240/139, 975/510 quickly i.e. 296400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/774, 240/139, 975/510 is 296400.
LCM(95/774, 240/139, 975/510) = 296400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/774,240/139,975/510
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 95,240,975
Least Common Multiple of Numerators i.e. LCM of 95,240,975 is 296400.
GCF of Denominators means GCF of 774,139,510 as per the given fractions.
GCF of 774,139,510 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,240,975
3 | 95, 240, 975 |
5 | 95, 80, 325 |
19, 16, 65 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 16 x 65 = 296400
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 95,240,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,240,975) = 5
common factors(in case of two or more numbers have common factors) = 15
GCF(95,240,975) x common factors =5 x 15 = 75
LCM(95,240,975) = ( 95 × 240 × 975 ) / 75
LCM(95,240,975) = 22230000 / 75
LCM(95,240,975) = 296400
Lets's calculate GCF of 774,139,510
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296400/1
Therefore the LCM of Fractions 95/774,240/139,975/510 is 296400
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 774,139,510 . The biggest common factor number is the GCF number.
So the greatest common factor 774,139,510 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 95/774, 240/139, 975/510?
Answer: LCM of Numerators as per given numbers 95/774, 240/139, 975/510 is
LCM of Numerators i.e. for 95,240,975 is 296400
GCF of denominators i.e. for 774,139,510 is 1.
Thus, LCM of Fractions is 296400.Finally, LCM of Fractions for 95/774, 240/139, 975/510 is 296400.