Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 948/26, 931/86, 608/489 quickly i.e. 7060704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 948/26, 931/86, 608/489 is 7060704.
LCM(948/26, 931/86, 608/489) = 7060704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 948/26,931/86,608/489
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 948,931,608
Least Common Multiple of Numerators i.e. LCM of 948,931,608 is 7060704.
GCF of Denominators means GCF of 26,86,489 as per the given fractions.
GCF of 26,86,489 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 948,931,608
2 | 948, 931, 608 |
2 | 474, 931, 304 |
19 | 237, 931, 152 |
237, 49, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 237 x 49 x 8 = 7060704
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 948,931,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,931,608) = 1
common factors(in case of two or more numbers have common factors) = 76
GCF(948,931,608) x common factors =1 x 76 = 76
LCM(948,931,608) = ( 948 × 931 × 608 ) / 76
LCM(948,931,608) = 536613504 / 76
LCM(948,931,608) = 7060704
Lets's calculate GCF of 26,86,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7060704/1
Therefore the LCM of Fractions 948/26,931/86,608/489 is 7060704
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 26,86,489 . The biggest common factor number is the GCF number.
So the greatest common factor 26,86,489 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 948/26, 931/86, 608/489?
Answer: LCM of Numerators as per given numbers 948/26, 931/86, 608/489 is
LCM of Numerators i.e. for 948,931,608 is 7060704
GCF of denominators i.e. for 26,86,489 is 1.
Thus, LCM of Fractions is 7060704.Finally, LCM of Fractions for 948/26, 931/86, 608/489 is 7060704.