Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/838, 98/754, 610/725 quickly i.e. 508130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/838, 98/754, 610/725 is 508130.
LCM(85/838, 98/754, 610/725) = 508130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/838,98/754,610/725
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 85,98,610
Least Common Multiple of Numerators i.e. LCM of 85,98,610 is 508130.
GCF of Denominators means GCF of 838,754,725 as per the given fractions.
GCF of 838,754,725 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,98,610
2 | 85, 98, 610 |
5 | 85, 49, 305 |
17, 49, 61 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 49 x 61 = 508130
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 85,98,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,98,610) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(85,98,610) x common factors =1 x 10 = 10
LCM(85,98,610) = ( 85 × 98 × 610 ) / 10
LCM(85,98,610) = 5081300 / 10
LCM(85,98,610) = 508130
Lets's calculate GCF of 838,754,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 508130/1
Therefore the LCM of Fractions 85/838,98/754,610/725 is 508130
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 838,754,725 . The biggest common factor number is the GCF number.
So the greatest common factor 838,754,725 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 85/838, 98/754, 610/725?
Answer: LCM of Numerators as per given numbers 85/838, 98/754, 610/725 is
LCM of Numerators i.e. for 85,98,610 is 508130
GCF of denominators i.e. for 838,754,725 is 1.
Thus, LCM of Fractions is 508130.Finally, LCM of Fractions for 85/838, 98/754, 610/725 is 508130.