Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 167/880, 5510/8698 quickly i.e. 460085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 167/880, 5510/8698 is 460085.
LCM(167/880, 5510/8698) = 460085
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 167/880,5510/8698
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 167,5510
Least Common Multiple of Numerators i.e. LCM of 167,5510 is 920170.
GCF of Denominators means GCF of 880,8698 as per the given fractions.
GCF of 880,8698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 167,5510
Given numbers has no common factors except 1. So, there LCM is their product i.e 920170
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 167,5510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,5510) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,5510) x common factors =1 x 1 = 1
LCM(167,5510) = ( 167 × 5510 ) / 1
LCM(167,5510) = 920170 / 1
LCM(167,5510) = 920170
Lets's calculate GCF of 880,8698
2 | 880, 8698 |
440, 4349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 920170/2
Therefore the LCM of Fractions 167/880,5510/8698 is 460085
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 8698
List of positive integer factors of 8698 that divides 8698 without a remainder.
1,2,4349,8698
Greatest Common Factor
We found the factors 880,8698 . The biggest common factor number is the GCF number.
So the greatest common factor 880,8698 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 167/880, 5510/8698?
Answer: LCM of Numerators as per given numbers 167/880, 5510/8698 is
LCM of Numerators i.e. for 167,5510 is 920170
GCF of denominators i.e. for 880,8698 is 2.
Thus, LCM of Fractions is 460085.Finally, LCM of Fractions for 167/880, 5510/8698 is 460085.