Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 825/98, 835/71, 407/987 quickly i.e. 5097675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 825/98, 835/71, 407/987 is 5097675.
LCM(825/98, 835/71, 407/987) = 5097675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 825/98,835/71,407/987
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 825,835,407
Least Common Multiple of Numerators i.e. LCM of 825,835,407 is 5097675.
GCF of Denominators means GCF of 98,71,987 as per the given fractions.
GCF of 98,71,987 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 825,835,407
5 | 825, 835, 407 |
11 | 165, 167, 407 |
15, 167, 37 |
∴ So the LCM of the given numbers is 5 x 11 x 15 x 167 x 37 = 5097675
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 825,835,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,835,407) = 1
common factors(in case of two or more numbers have common factors) = 55
GCF(825,835,407) x common factors =1 x 55 = 55
LCM(825,835,407) = ( 825 × 835 × 407 ) / 55
LCM(825,835,407) = 280372125 / 55
LCM(825,835,407) = 5097675
Lets's calculate GCF of 98,71,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5097675/1
Therefore the LCM of Fractions 825/98,835/71,407/987 is 5097675
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 98,71,987 . The biggest common factor number is the GCF number.
So the greatest common factor 98,71,987 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 825/98, 835/71, 407/987?
Answer: LCM of Numerators as per given numbers 825/98, 835/71, 407/987 is
LCM of Numerators i.e. for 825,835,407 is 5097675
GCF of denominators i.e. for 98,71,987 is 1.
Thus, LCM of Fractions is 5097675.Finally, LCM of Fractions for 825/98, 835/71, 407/987 is 5097675.