Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 948/42, 718/23, 692/113 quickly i.e. 58877436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 948/42, 718/23, 692/113 is 58877436.
LCM(948/42, 718/23, 692/113) = 58877436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 948/42,718/23,692/113
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 948,718,692
Least Common Multiple of Numerators i.e. LCM of 948,718,692 is 58877436.
GCF of Denominators means GCF of 42,23,113 as per the given fractions.
GCF of 42,23,113 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 948,718,692
2 | 948, 718, 692 |
2 | 474, 359, 346 |
237, 359, 173 |
∴ So the LCM of the given numbers is 2 x 2 x 237 x 359 x 173 = 58877436
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 948,718,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,718,692) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(948,718,692) x common factors =2 x 4 = 8
LCM(948,718,692) = ( 948 × 718 × 692 ) / 8
LCM(948,718,692) = 471019488 / 8
LCM(948,718,692) = 58877436
Lets's calculate GCF of 42,23,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58877436/1
Therefore the LCM of Fractions 948/42,718/23,692/113 is 58877436
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 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Greatest Common Factor
We found the factors 42,23,113 . The biggest common factor number is the GCF number.
So the greatest common factor 42,23,113 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 948/42, 718/23, 692/113?
Answer: LCM of Numerators as per given numbers 948/42, 718/23, 692/113 is
LCM of Numerators i.e. for 948,718,692 is 58877436
GCF of denominators i.e. for 42,23,113 is 1.
Thus, LCM of Fractions is 58877436.Finally, LCM of Fractions for 948/42, 718/23, 692/113 is 58877436.