Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/281, 870/546, 488/687 quickly i.e. 212280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/281, 870/546, 488/687 is 212280.
LCM(87/281, 870/546, 488/687) = 212280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/281,870/546,488/687
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 87,870,488
Least Common Multiple of Numerators i.e. LCM of 87,870,488 is 212280.
GCF of Denominators means GCF of 281,546,687 as per the given fractions.
GCF of 281,546,687 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,870,488
2 | 87, 870, 488 |
3 | 87, 435, 244 |
29 | 29, 145, 244 |
1, 5, 244 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 5 x 244 = 212280
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 87,870,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,870,488) = 1
common factors(in case of two or more numbers have common factors) = 174
GCF(87,870,488) x common factors =1 x 174 = 174
LCM(87,870,488) = ( 87 × 870 × 488 ) / 174
LCM(87,870,488) = 36936720 / 174
LCM(87,870,488) = 212280
Lets's calculate GCF of 281,546,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212280/1
Therefore the LCM of Fractions 87/281,870/546,488/687 is 212280
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 281,546,687 . The biggest common factor number is the GCF number.
So the greatest common factor 281,546,687 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 87/281, 870/546, 488/687?
Answer: LCM of Numerators as per given numbers 87/281, 870/546, 488/687 is
LCM of Numerators i.e. for 87,870,488 is 212280
GCF of denominators i.e. for 281,546,687 is 1.
Thus, LCM of Fractions is 212280.Finally, LCM of Fractions for 87/281, 870/546, 488/687 is 212280.