Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/13, 70/10, 54/94, 93/767 quickly i.e. 58590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/13, 70/10, 54/94, 93/767 is 58590.
LCM(45/13, 70/10, 54/94, 93/767) = 58590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/13,70/10,54/94,93/767
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 45,70,54,93
Least Common Multiple of Numerators i.e. LCM of 45,70,54,93 is 58590.
GCF of Denominators means GCF of 13,10,94,767 as per the given fractions.
GCF of 13,10,94,767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,70,54,93
2 | 45, 70, 54, 93 |
3 | 45, 35, 27, 93 |
3 | 15, 35, 9, 31 |
5 | 5, 35, 3, 31 |
1, 7, 3, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 7 x 3 x 31 = 58590
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 45,70,54,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,70,54,93) = 1
common factors(in case of two or more numbers have common factors) = 270
GCF(45,70,54,93) x common factors =1 x 270 = 270
LCM(45,70,54,93) = ( 45 × 70 × 54 × 93 ) / 270
LCM(45,70,54,93) = 15819300 / 270
LCM(45,70,54,93) = 58590
Lets's calculate GCF of 13,10,94,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58590/1
Therefore the LCM of Fractions 45/13,70/10,54/94,93/767 is 58590
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 13,10,94,767 . The biggest common factor number is the GCF number.
So the greatest common factor 13,10,94,767 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 45/13, 70/10, 54/94, 93/767?
Answer: LCM of Numerators as per given numbers 45/13, 70/10, 54/94, 93/767 is
LCM of Numerators i.e. for 45,70,54,93 is 58590
GCF of denominators i.e. for 13,10,94,767 is 1.
Thus, LCM of Fractions is 58590.Finally, LCM of Fractions for 45/13, 70/10, 54/94, 93/767 is 58590.