Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/53, 32/28, 74/42, 55/642 quickly i.e. 455840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/53, 32/28, 74/42, 55/642 is 455840.
LCM(77/53, 32/28, 74/42, 55/642) = 455840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/53,32/28,74/42,55/642
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 77,32,74,55
Least Common Multiple of Numerators i.e. LCM of 77,32,74,55 is 455840.
GCF of Denominators means GCF of 53,28,42,642 as per the given fractions.
GCF of 53,28,42,642 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,32,74,55
2 | 77, 32, 74, 55 |
11 | 77, 16, 37, 55 |
7, 16, 37, 5 |
∴ So the LCM of the given numbers is 2 x 11 x 7 x 16 x 37 x 5 = 455840
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 77,32,74,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,32,74,55) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(77,32,74,55) x common factors =1 x 22 = 22
LCM(77,32,74,55) = ( 77 × 32 × 74 × 55 ) / 22
LCM(77,32,74,55) = 10028480 / 22
LCM(77,32,74,55) = 455840
Lets's calculate GCF of 53,28,42,642
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455840/1
Therefore the LCM of Fractions 77/53,32/28,74/42,55/642 is 455840
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 53,28,42,642 . The biggest common factor number is the GCF number.
So the greatest common factor 53,28,42,642 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 77/53, 32/28, 74/42, 55/642?
Answer: LCM of Numerators as per given numbers 77/53, 32/28, 74/42, 55/642 is
LCM of Numerators i.e. for 77,32,74,55 is 455840
GCF of denominators i.e. for 53,28,42,642 is 1.
Thus, LCM of Fractions is 455840.Finally, LCM of Fractions for 77/53, 32/28, 74/42, 55/642 is 455840.