Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/38, 39/70, 27/63, 22/745 quickly i.e. 270270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/38, 39/70, 27/63, 22/745 is 270270.
LCM(70/38, 39/70, 27/63, 22/745) = 270270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/38,39/70,27/63,22/745
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 70,39,27,22
Least Common Multiple of Numerators i.e. LCM of 70,39,27,22 is 270270.
GCF of Denominators means GCF of 38,70,63,745 as per the given fractions.
GCF of 38,70,63,745 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,39,27,22
2 | 70, 39, 27, 22 |
3 | 35, 39, 27, 11 |
35, 13, 9, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 35 x 13 x 9 x 11 = 270270
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 70,39,27,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,39,27,22) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(70,39,27,22) x common factors =1 x 6 = 6
LCM(70,39,27,22) = ( 70 × 39 × 27 × 22 ) / 6
LCM(70,39,27,22) = 1621620 / 6
LCM(70,39,27,22) = 270270
Lets's calculate GCF of 38,70,63,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270270/1
Therefore the LCM of Fractions 70/38,39/70,27/63,22/745 is 270270
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 38,70,63,745 . The biggest common factor number is the GCF number.
So the greatest common factor 38,70,63,745 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 70/38, 39/70, 27/63, 22/745?
Answer: LCM of Numerators as per given numbers 70/38, 39/70, 27/63, 22/745 is
LCM of Numerators i.e. for 70,39,27,22 is 270270
GCF of denominators i.e. for 38,70,63,745 is 1.
Thus, LCM of Fractions is 270270.Finally, LCM of Fractions for 70/38, 39/70, 27/63, 22/745 is 270270.