Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/851, 21/957, 421/555 quickly i.e. 106092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/851, 21/957, 421/555 is 106092.
LCM(36/851, 21/957, 421/555) = 106092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/851,21/957,421/555
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 36,21,421
Least Common Multiple of Numerators i.e. LCM of 36,21,421 is 106092.
GCF of Denominators means GCF of 851,957,555 as per the given fractions.
GCF of 851,957,555 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,21,421
3 | 36, 21, 421 |
12, 7, 421 |
∴ So the LCM of the given numbers is 3 x 12 x 7 x 421 = 106092
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 36,21,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,21,421) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(36,21,421) x common factors =1 x 3 = 3
LCM(36,21,421) = ( 36 × 21 × 421 ) / 3
LCM(36,21,421) = 318276 / 3
LCM(36,21,421) = 106092
Lets's calculate GCF of 851,957,555
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106092/1
Therefore the LCM of Fractions 36/851,21/957,421/555 is 106092
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 851,957,555 . The biggest common factor number is the GCF number.
So the greatest common factor 851,957,555 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 36/851, 21/957, 421/555?
Answer: LCM of Numerators as per given numbers 36/851, 21/957, 421/555 is
LCM of Numerators i.e. for 36,21,421 is 106092
GCF of denominators i.e. for 851,957,555 is 1.
Thus, LCM of Fractions is 106092.Finally, LCM of Fractions for 36/851, 21/957, 421/555 is 106092.