Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/138, 45/359, 813/321 quickly i.e. 170730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/138, 45/359, 813/321 is 170730.
LCM(70/138, 45/359, 813/321) = 170730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/138,45/359,813/321
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 70,45,813
Least Common Multiple of Numerators i.e. LCM of 70,45,813 is 170730.
GCF of Denominators means GCF of 138,359,321 as per the given fractions.
GCF of 138,359,321 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,45,813
3 | 70, 45, 813 |
5 | 70, 15, 271 |
14, 3, 271 |
∴ So the LCM of the given numbers is 3 x 5 x 14 x 3 x 271 = 170730
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 70,45,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,45,813) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(70,45,813) x common factors =1 x 15 = 15
LCM(70,45,813) = ( 70 × 45 × 813 ) / 15
LCM(70,45,813) = 2560950 / 15
LCM(70,45,813) = 170730
Lets's calculate GCF of 138,359,321
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170730/1
Therefore the LCM of Fractions 70/138,45/359,813/321 is 170730
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Greatest Common Factor
We found the factors 138,359,321 . The biggest common factor number is the GCF number.
So the greatest common factor 138,359,321 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 70/138, 45/359, 813/321?
Answer: LCM of Numerators as per given numbers 70/138, 45/359, 813/321 is
LCM of Numerators i.e. for 70,45,813 is 170730
GCF of denominators i.e. for 138,359,321 is 1.
Thus, LCM of Fractions is 170730.Finally, LCM of Fractions for 70/138, 45/359, 813/321 is 170730.