Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/705, 94/347, 11/170 quickly i.e. 2068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/705, 94/347, 11/170 is 2068.
LCM(4/705, 94/347, 11/170) = 2068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/705,94/347,11/170
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 4,94,11
Least Common Multiple of Numerators i.e. LCM of 4,94,11 is 2068.
GCF of Denominators means GCF of 705,347,170 as per the given fractions.
GCF of 705,347,170 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,94,11
2 | 4, 94, 11 |
2, 47, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 11 = 2068
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 4,94,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,94,11) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(4,94,11) x common factors =1 x 2 = 2
LCM(4,94,11) = ( 4 × 94 × 11 ) / 2
LCM(4,94,11) = 4136 / 2
LCM(4,94,11) = 2068
Lets's calculate GCF of 705,347,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2068/1
Therefore the LCM of Fractions 4/705,94/347,11/170 is 2068
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 705,347,170 . The biggest common factor number is the GCF number.
So the greatest common factor 705,347,170 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 4/705, 94/347, 11/170?
Answer: LCM of Numerators as per given numbers 4/705, 94/347, 11/170 is
LCM of Numerators i.e. for 4,94,11 is 2068
GCF of denominators i.e. for 705,347,170 is 1.
Thus, LCM of Fractions is 2068.Finally, LCM of Fractions for 4/705, 94/347, 11/170 is 2068.