Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8530/106, 7357/876 quickly i.e. 31377605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8530/106, 7357/876 is 31377605.
LCM(8530/106, 7357/876) = 31377605
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8530/106,7357/876
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 8530,7357
Least Common Multiple of Numerators i.e. LCM of 8530,7357 is 62755210.
GCF of Denominators means GCF of 106,876 as per the given fractions.
GCF of 106,876 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8530,7357
Given numbers has no common factors except 1. So, there LCM is their product i.e 62755210
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 8530,7357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8530,7357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8530,7357) x common factors =1 x 1 = 1
LCM(8530,7357) = ( 8530 × 7357 ) / 1
LCM(8530,7357) = 62755210 / 1
LCM(8530,7357) = 62755210
Lets's calculate GCF of 106,876
2 | 106, 876 |
53, 438 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62755210/2
Therefore the LCM of Fractions 8530/106,7357/876 is 31377605
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 106,876 . The biggest common factor number is the GCF number.
So the greatest common factor 106,876 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 8530/106, 7357/876?
Answer: LCM of Numerators as per given numbers 8530/106, 7357/876 is
LCM of Numerators i.e. for 8530,7357 is 62755210
GCF of denominators i.e. for 106,876 is 2.
Thus, LCM of Fractions is 31377605.Finally, LCM of Fractions for 8530/106, 7357/876 is 31377605.