Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/548, 825/839, 628/635 quickly i.e. 22278300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/548, 825/839, 628/635 is 22278300.
LCM(86/548, 825/839, 628/635) = 22278300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/548,825/839,628/635
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 86,825,628
Least Common Multiple of Numerators i.e. LCM of 86,825,628 is 22278300.
GCF of Denominators means GCF of 548,839,635 as per the given fractions.
GCF of 548,839,635 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,825,628
2 | 86, 825, 628 |
43, 825, 314 |
∴ So the LCM of the given numbers is 2 x 43 x 825 x 314 = 22278300
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 86,825,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,825,628) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,825,628) x common factors =1 x 2 = 2
LCM(86,825,628) = ( 86 × 825 × 628 ) / 2
LCM(86,825,628) = 44556600 / 2
LCM(86,825,628) = 22278300
Lets's calculate GCF of 548,839,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22278300/1
Therefore the LCM of Fractions 86/548,825/839,628/635 is 22278300
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 548,839,635 . The biggest common factor number is the GCF number.
So the greatest common factor 548,839,635 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 86/548, 825/839, 628/635?
Answer: LCM of Numerators as per given numbers 86/548, 825/839, 628/635 is
LCM of Numerators i.e. for 86,825,628 is 22278300
GCF of denominators i.e. for 548,839,635 is 1.
Thus, LCM of Fractions is 22278300.Finally, LCM of Fractions for 86/548, 825/839, 628/635 is 22278300.