Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 648/51, 790/91, 948/658 quickly i.e. 255960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 648/51, 790/91, 948/658 is 255960.
LCM(648/51, 790/91, 948/658) = 255960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 648/51,790/91,948/658
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 648,790,948
Least Common Multiple of Numerators i.e. LCM of 648,790,948 is 255960.
GCF of Denominators means GCF of 51,91,658 as per the given fractions.
GCF of 51,91,658 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 648,790,948
2 | 648, 790, 948 |
2 | 324, 395, 474 |
3 | 162, 395, 237 |
79 | 54, 395, 79 |
54, 5, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 79 x 54 x 5 x 1 = 255960
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 648,790,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,790,948) = 2
common factors(in case of two or more numbers have common factors) = 948
GCF(648,790,948) x common factors =2 x 948 = 1896
LCM(648,790,948) = ( 648 × 790 × 948 ) / 1896
LCM(648,790,948) = 485300160 / 1896
LCM(648,790,948) = 255960
Lets's calculate GCF of 51,91,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255960/1
Therefore the LCM of Fractions 648/51,790/91,948/658 is 255960
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 51,91,658 . The biggest common factor number is the GCF number.
So the greatest common factor 51,91,658 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 648/51, 790/91, 948/658?
Answer: LCM of Numerators as per given numbers 648/51, 790/91, 948/658 is
LCM of Numerators i.e. for 648,790,948 is 255960
GCF of denominators i.e. for 51,91,658 is 1.
Thus, LCM of Fractions is 255960.Finally, LCM of Fractions for 648/51, 790/91, 948/658 is 255960.