Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/93, 54/91, 90/66, 62/495 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 42/93, 54/91, 90/66, 62/495 is 58590.
LCM(42/93, 54/91, 90/66, 62/495) = 58590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/93,54/91,90/66,62/495
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 42,54,90,62
Least Common Multiple of Numerators i.e. LCM of 42,54,90,62 is 58590.
GCF of Denominators means GCF of 93,91,66,495 as per the given fractions.
GCF of 93,91,66,495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,54,90,62
2 | 42, 54, 90, 62 |
3 | 21, 27, 45, 31 |
3 | 7, 9, 15, 31 |
7, 3, 5, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 3 x 5 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 42,54,90,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,54,90,62) = 2
common factors(in case of two or more numbers have common factors) = 108
GCF(42,54,90,62) x common factors =2 x 108 = 216
LCM(42,54,90,62) = ( 42 × 54 × 90 × 62 ) / 216
LCM(42,54,90,62) = 12655440 / 216
LCM(42,54,90,62) = 58590
Lets's calculate GCF of 93,91,66,495
∴ 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 42/93,54/91,90/66,62/495 is 58590
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 93,91,66,495 . The biggest common factor number is the GCF number.
So the greatest common factor 93,91,66,495 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 42/93, 54/91, 90/66, 62/495?
Answer: LCM of Numerators as per given numbers 42/93, 54/91, 90/66, 62/495 is
LCM of Numerators i.e. for 42,54,90,62 is 58590
GCF of denominators i.e. for 93,91,66,495 is 1.
Thus, LCM of Fractions is 58590.Finally, LCM of Fractions for 42/93, 54/91, 90/66, 62/495 is 58590.