Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 846/85, 498/38, 991/564 quickly i.e. 69586038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 846/85, 498/38, 991/564 is 69586038.
LCM(846/85, 498/38, 991/564) = 69586038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 846/85,498/38,991/564
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 846,498,991
Least Common Multiple of Numerators i.e. LCM of 846,498,991 is 69586038.
GCF of Denominators means GCF of 85,38,564 as per the given fractions.
GCF of 85,38,564 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 846,498,991
2 | 846, 498, 991 |
3 | 423, 249, 991 |
141, 83, 991 |
∴ So the LCM of the given numbers is 2 x 3 x 141 x 83 x 991 = 69586038
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 846,498,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,498,991) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(846,498,991) x common factors =1 x 6 = 6
LCM(846,498,991) = ( 846 × 498 × 991 ) / 6
LCM(846,498,991) = 417516228 / 6
LCM(846,498,991) = 69586038
Lets's calculate GCF of 85,38,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69586038/1
Therefore the LCM of Fractions 846/85,498/38,991/564 is 69586038
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 85,38,564 . The biggest common factor number is the GCF number.
So the greatest common factor 85,38,564 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 846/85, 498/38, 991/564?
Answer: LCM of Numerators as per given numbers 846/85, 498/38, 991/564 is
LCM of Numerators i.e. for 846,498,991 is 69586038
GCF of denominators i.e. for 85,38,564 is 1.
Thus, LCM of Fractions is 69586038.Finally, LCM of Fractions for 846/85, 498/38, 991/564 is 69586038.