Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/56, 861/43, 679/607 quickly i.e. 167034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/56, 861/43, 679/607 is 167034.
LCM(82/56, 861/43, 679/607) = 167034
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/56,861/43,679/607
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 82,861,679
Least Common Multiple of Numerators i.e. LCM of 82,861,679 is 167034.
GCF of Denominators means GCF of 56,43,607 as per the given fractions.
GCF of 56,43,607 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,861,679
7 | 82, 861, 679 |
41 | 82, 123, 97 |
2, 3, 97 |
∴ So the LCM of the given numbers is 7 x 41 x 2 x 3 x 97 = 167034
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 82,861,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,861,679) = 1
common factors(in case of two or more numbers have common factors) = 287
GCF(82,861,679) x common factors =1 x 287 = 287
LCM(82,861,679) = ( 82 × 861 × 679 ) / 287
LCM(82,861,679) = 47938758 / 287
LCM(82,861,679) = 167034
Lets's calculate GCF of 56,43,607
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167034/1
Therefore the LCM of Fractions 82/56,861/43,679/607 is 167034
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 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Greatest Common Factor
We found the factors 56,43,607 . The biggest common factor number is the GCF number.
So the greatest common factor 56,43,607 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 82/56, 861/43, 679/607?
Answer: LCM of Numerators as per given numbers 82/56, 861/43, 679/607 is
LCM of Numerators i.e. for 82,861,679 is 167034
GCF of denominators i.e. for 56,43,607 is 1.
Thus, LCM of Fractions is 167034.Finally, LCM of Fractions for 82/56, 861/43, 679/607 is 167034.