Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 860/946, 530/697, 886/999 quickly i.e. 20191940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 860/946, 530/697, 886/999 is 20191940.
LCM(860/946, 530/697, 886/999) = 20191940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 860/946,530/697,886/999
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 860,530,886
Least Common Multiple of Numerators i.e. LCM of 860,530,886 is 20191940.
GCF of Denominators means GCF of 946,697,999 as per the given fractions.
GCF of 946,697,999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 860,530,886
2 | 860, 530, 886 |
5 | 430, 265, 443 |
86, 53, 443 |
∴ So the LCM of the given numbers is 2 x 5 x 86 x 53 x 443 = 20191940
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 860,530,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,530,886) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(860,530,886) x common factors =2 x 10 = 20
LCM(860,530,886) = ( 860 × 530 × 886 ) / 20
LCM(860,530,886) = 403838800 / 20
LCM(860,530,886) = 20191940
Lets's calculate GCF of 946,697,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20191940/1
Therefore the LCM of Fractions 860/946,530/697,886/999 is 20191940
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 946,697,999 . The biggest common factor number is the GCF number.
So the greatest common factor 946,697,999 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 860/946, 530/697, 886/999?
Answer: LCM of Numerators as per given numbers 860/946, 530/697, 886/999 is
LCM of Numerators i.e. for 860,530,886 is 20191940
GCF of denominators i.e. for 946,697,999 is 1.
Thus, LCM of Fractions is 20191940.Finally, LCM of Fractions for 860/946, 530/697, 886/999 is 20191940.