Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/72, 70/33, 22/701 quickly i.e. 10010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/72, 70/33, 22/701 is 10010.
LCM(91/72, 70/33, 22/701) = 10010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/72,70/33,22/701
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 91,70,22
Least Common Multiple of Numerators i.e. LCM of 91,70,22 is 10010.
GCF of Denominators means GCF of 72,33,701 as per the given fractions.
GCF of 72,33,701 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,70,22
2 | 91, 70, 22 |
7 | 91, 35, 11 |
13, 5, 11 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 5 x 11 = 10010
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 91,70,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,70,22) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(91,70,22) x common factors =1 x 14 = 14
LCM(91,70,22) = ( 91 × 70 × 22 ) / 14
LCM(91,70,22) = 140140 / 14
LCM(91,70,22) = 10010
Lets's calculate GCF of 72,33,701
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10010/1
Therefore the LCM of Fractions 91/72,70/33,22/701 is 10010
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Greatest Common Factor
We found the factors 72,33,701 . The biggest common factor number is the GCF number.
So the greatest common factor 72,33,701 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 91/72, 70/33, 22/701?
Answer: LCM of Numerators as per given numbers 91/72, 70/33, 22/701 is
LCM of Numerators i.e. for 91,70,22 is 10010
GCF of denominators i.e. for 72,33,701 is 1.
Thus, LCM of Fractions is 10010.Finally, LCM of Fractions for 91/72, 70/33, 22/701 is 10010.