Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/936, 262/516, 173/441 quickly i.e. 407934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/936, 262/516, 173/441 is 407934.
LCM(54/936, 262/516, 173/441) = 407934
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/936,262/516,173/441
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 54,262,173
Least Common Multiple of Numerators i.e. LCM of 54,262,173 is 1223802.
GCF of Denominators means GCF of 936,516,441 as per the given fractions.
GCF of 936,516,441 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,262,173
2 | 54, 262, 173 |
27, 131, 173 |
∴ So the LCM of the given numbers is 2 x 27 x 131 x 173 = 1223802
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 54,262,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,262,173) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,262,173) x common factors =1 x 2 = 2
LCM(54,262,173) = ( 54 × 262 × 173 ) / 2
LCM(54,262,173) = 2447604 / 2
LCM(54,262,173) = 1223802
Lets's calculate GCF of 936,516,441
3 | 936, 516, 441 |
312, 172, 147 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1223802/3
Therefore the LCM of Fractions 54/936,262/516,173/441 is 407934
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 936,516,441 . The biggest common factor number is the GCF number.
So the greatest common factor 936,516,441 is 3.
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 54/936, 262/516, 173/441?
Answer: LCM of Numerators as per given numbers 54/936, 262/516, 173/441 is
LCM of Numerators i.e. for 54,262,173 is 1223802
GCF of denominators i.e. for 936,516,441 is 3.
Thus, LCM of Fractions is 407934.Finally, LCM of Fractions for 54/936, 262/516, 173/441 is 407934.