Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/782, 86/884, 521/778 quickly i.e. 1949061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/782, 86/884, 521/778 is 1949061.
LCM(87/782, 86/884, 521/778) = 1949061
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/782,86/884,521/778
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 87,86,521
Least Common Multiple of Numerators i.e. LCM of 87,86,521 is 3898122.
GCF of Denominators means GCF of 782,884,778 as per the given fractions.
GCF of 782,884,778 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,86,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 3898122
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 87,86,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,86,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,86,521) x common factors =1 x 1 = 1
LCM(87,86,521) = ( 87 × 86 × 521 ) / 1
LCM(87,86,521) = 3898122 / 1
LCM(87,86,521) = 3898122
Lets's calculate GCF of 782,884,778
2 | 782, 884, 778 |
391, 442, 389 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3898122/2
Therefore the LCM of Fractions 87/782,86/884,521/778 is 1949061
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Greatest Common Factor
We found the factors 782,884,778 . The biggest common factor number is the GCF number.
So the greatest common factor 782,884,778 is 2.
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 87/782, 86/884, 521/778?
Answer: LCM of Numerators as per given numbers 87/782, 86/884, 521/778 is
LCM of Numerators i.e. for 87,86,521 is 3898122
GCF of denominators i.e. for 782,884,778 is 2.
Thus, LCM of Fractions is 1949061.Finally, LCM of Fractions for 87/782, 86/884, 521/778 is 1949061.