Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/55, 56/999, 278/575 quickly i.e. 677208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/55, 56/999, 278/575 is 677208.
LCM(87/55, 56/999, 278/575) = 677208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/55,56/999,278/575
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 87,56,278
Least Common Multiple of Numerators i.e. LCM of 87,56,278 is 677208.
GCF of Denominators means GCF of 55,999,575 as per the given fractions.
GCF of 55,999,575 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,56,278
2 | 87, 56, 278 |
87, 28, 139 |
∴ So the LCM of the given numbers is 2 x 87 x 28 x 139 = 677208
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 87,56,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,56,278) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(87,56,278) x common factors =1 x 2 = 2
LCM(87,56,278) = ( 87 × 56 × 278 ) / 2
LCM(87,56,278) = 1354416 / 2
LCM(87,56,278) = 677208
Lets's calculate GCF of 55,999,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 677208/1
Therefore the LCM of Fractions 87/55,56/999,278/575 is 677208
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 55,999,575 . The biggest common factor number is the GCF number.
So the greatest common factor 55,999,575 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 87/55, 56/999, 278/575?
Answer: LCM of Numerators as per given numbers 87/55, 56/999, 278/575 is
LCM of Numerators i.e. for 87,56,278 is 677208
GCF of denominators i.e. for 55,999,575 is 1.
Thus, LCM of Fractions is 677208.Finally, LCM of Fractions for 87/55, 56/999, 278/575 is 677208.