Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/83, 455/14, 767/705 quickly i.e. 590590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/83, 455/14, 767/705 is 590590.
LCM(22/83, 455/14, 767/705) = 590590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/83,455/14,767/705
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 22,455,767
Least Common Multiple of Numerators i.e. LCM of 22,455,767 is 590590.
GCF of Denominators means GCF of 83,14,705 as per the given fractions.
GCF of 83,14,705 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,455,767
13 | 22, 455, 767 |
22, 35, 59 |
∴ So the LCM of the given numbers is 13 x 22 x 35 x 59 = 590590
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 22,455,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,455,767) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(22,455,767) x common factors =1 x 13 = 13
LCM(22,455,767) = ( 22 × 455 × 767 ) / 13
LCM(22,455,767) = 7677670 / 13
LCM(22,455,767) = 590590
Lets's calculate GCF of 83,14,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 590590/1
Therefore the LCM of Fractions 22/83,455/14,767/705 is 590590
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 83,14,705 . The biggest common factor number is the GCF number.
So the greatest common factor 83,14,705 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 22/83, 455/14, 767/705?
Answer: LCM of Numerators as per given numbers 22/83, 455/14, 767/705 is
LCM of Numerators i.e. for 22,455,767 is 590590
GCF of denominators i.e. for 83,14,705 is 1.
Thus, LCM of Fractions is 590590.Finally, LCM of Fractions for 22/83, 455/14, 767/705 is 590590.