Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 540/49, 520/85, 648/676 quickly i.e. 42120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 540/49, 520/85, 648/676 is 42120.
LCM(540/49, 520/85, 648/676) = 42120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 540/49,520/85,648/676
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 540,520,648
Least Common Multiple of Numerators i.e. LCM of 540,520,648 is 42120.
GCF of Denominators means GCF of 49,85,676 as per the given fractions.
GCF of 49,85,676 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 540,520,648
2 | 540, 520, 648 |
2 | 270, 260, 324 |
2 | 135, 130, 162 |
3 | 135, 65, 81 |
3 | 45, 65, 27 |
3 | 15, 65, 9 |
5 | 5, 65, 3 |
1, 13, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 5 x 1 x 13 x 3 = 42120
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 540,520,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,520,648) = 4
common factors(in case of two or more numbers have common factors) = 1080
GCF(540,520,648) x common factors =4 x 1080 = 4320
LCM(540,520,648) = ( 540 × 520 × 648 ) / 4320
LCM(540,520,648) = 181958400 / 4320
LCM(540,520,648) = 42120
Lets's calculate GCF of 49,85,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42120/1
Therefore the LCM of Fractions 540/49,520/85,648/676 is 42120
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 49,85,676 . The biggest common factor number is the GCF number.
So the greatest common factor 49,85,676 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 540/49, 520/85, 648/676?
Answer: LCM of Numerators as per given numbers 540/49, 520/85, 648/676 is
LCM of Numerators i.e. for 540,520,648 is 42120
GCF of denominators i.e. for 49,85,676 is 1.
Thus, LCM of Fractions is 42120.Finally, LCM of Fractions for 540/49, 520/85, 648/676 is 42120.