Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/79, 18/56, 87/98, 62/657 quickly i.e. 695826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/79, 18/56, 87/98, 62/657 is 695826.
LCM(43/79, 18/56, 87/98, 62/657) = 695826
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/79,18/56,87/98,62/657
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 43,18,87,62
Least Common Multiple of Numerators i.e. LCM of 43,18,87,62 is 695826.
GCF of Denominators means GCF of 79,56,98,657 as per the given fractions.
GCF of 79,56,98,657 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,18,87,62
2 | 43, 18, 87, 62 |
3 | 43, 9, 87, 31 |
43, 3, 29, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 3 x 29 x 31 = 695826
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 43,18,87,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,18,87,62) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(43,18,87,62) x common factors =1 x 6 = 6
LCM(43,18,87,62) = ( 43 × 18 × 87 × 62 ) / 6
LCM(43,18,87,62) = 4174956 / 6
LCM(43,18,87,62) = 695826
Lets's calculate GCF of 79,56,98,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 695826/1
Therefore the LCM of Fractions 43/79,18/56,87/98,62/657 is 695826
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 79,56,98,657 . The biggest common factor number is the GCF number.
So the greatest common factor 79,56,98,657 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 43/79, 18/56, 87/98, 62/657?
Answer: LCM of Numerators as per given numbers 43/79, 18/56, 87/98, 62/657 is
LCM of Numerators i.e. for 43,18,87,62 is 695826
GCF of denominators i.e. for 79,56,98,657 is 1.
Thus, LCM of Fractions is 695826.Finally, LCM of Fractions for 43/79, 18/56, 87/98, 62/657 is 695826.