Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/280, 275/912, 626/510 quickly i.e. 7488525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/280, 275/912, 626/510 is 7488525.
LCM(87/280, 275/912, 626/510) = 7488525
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/280,275/912,626/510
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 87,275,626
Least Common Multiple of Numerators i.e. LCM of 87,275,626 is 14977050.
GCF of Denominators means GCF of 280,912,510 as per the given fractions.
GCF of 280,912,510 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,275,626
Given numbers has no common factors except 1. So, there LCM is their product i.e 14977050
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 87,275,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,275,626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,275,626) x common factors =1 x 1 = 1
LCM(87,275,626) = ( 87 × 275 × 626 ) / 1
LCM(87,275,626) = 14977050 / 1
LCM(87,275,626) = 14977050
Lets's calculate GCF of 280,912,510
2 | 280, 912, 510 |
140, 456, 255 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14977050/2
Therefore the LCM of Fractions 87/280,275/912,626/510 is 7488525
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
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 280,912,510 . The biggest common factor number is the GCF number.
So the greatest common factor 280,912,510 is 2.
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 87/280, 275/912, 626/510?
Answer: LCM of Numerators as per given numbers 87/280, 275/912, 626/510 is
LCM of Numerators i.e. for 87,275,626 is 14977050
GCF of denominators i.e. for 280,912,510 is 2.
Thus, LCM of Fractions is 7488525.Finally, LCM of Fractions for 87/280, 275/912, 626/510 is 7488525.