Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/73, 21/38, 70/45, 86/646 quickly i.e. 171570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/73, 21/38, 70/45, 86/646 is 171570.
LCM(95/73, 21/38, 70/45, 86/646) = 171570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/73,21/38,70/45,86/646
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 95,21,70,86
Least Common Multiple of Numerators i.e. LCM of 95,21,70,86 is 171570.
GCF of Denominators means GCF of 73,38,45,646 as per the given fractions.
GCF of 73,38,45,646 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,21,70,86
2 | 95, 21, 70, 86 |
5 | 95, 21, 35, 43 |
7 | 19, 21, 7, 43 |
19, 3, 1, 43 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 19 x 3 x 1 x 43 = 171570
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 95,21,70,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,21,70,86) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(95,21,70,86) x common factors =1 x 70 = 70
LCM(95,21,70,86) = ( 95 × 21 × 70 × 86 ) / 70
LCM(95,21,70,86) = 12009900 / 70
LCM(95,21,70,86) = 171570
Lets's calculate GCF of 73,38,45,646
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171570/1
Therefore the LCM of Fractions 95/73,21/38,70/45,86/646 is 171570
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 73,38,45,646 . The biggest common factor number is the GCF number.
So the greatest common factor 73,38,45,646 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 95/73, 21/38, 70/45, 86/646?
Answer: LCM of Numerators as per given numbers 95/73, 21/38, 70/45, 86/646 is
LCM of Numerators i.e. for 95,21,70,86 is 171570
GCF of denominators i.e. for 73,38,45,646 is 1.
Thus, LCM of Fractions is 171570.Finally, LCM of Fractions for 95/73, 21/38, 70/45, 86/646 is 171570.