Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8851/921, 6818/628 quickly i.e. 60346118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8851/921, 6818/628 is 60346118.
LCM(8851/921, 6818/628) = 60346118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8851/921,6818/628
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 8851,6818
Least Common Multiple of Numerators i.e. LCM of 8851,6818 is 60346118.
GCF of Denominators means GCF of 921,628 as per the given fractions.
GCF of 921,628 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8851,6818
Given numbers has no common factors except 1. So, there LCM is their product i.e 60346118
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 8851,6818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8851,6818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8851,6818) x common factors =1 x 1 = 1
LCM(8851,6818) = ( 8851 × 6818 ) / 1
LCM(8851,6818) = 60346118 / 1
LCM(8851,6818) = 60346118
Lets's calculate GCF of 921,628
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60346118/1
Therefore the LCM of Fractions 8851/921,6818/628 is 60346118
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 921,628 . The biggest common factor number is the GCF number.
So the greatest common factor 921,628 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 8851/921, 6818/628?
Answer: LCM of Numerators as per given numbers 8851/921, 6818/628 is
LCM of Numerators i.e. for 8851,6818 is 60346118
GCF of denominators i.e. for 921,628 is 1.
Thus, LCM of Fractions is 60346118.Finally, LCM of Fractions for 8851/921, 6818/628 is 60346118.