Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 117/123, 3557/870 quickly i.e. 138723 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 117/123, 3557/870 is 138723.
LCM(117/123, 3557/870) = 138723
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 117/123,3557/870
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 117,3557
Least Common Multiple of Numerators i.e. LCM of 117,3557 is 416169.
GCF of Denominators means GCF of 123,870 as per the given fractions.
GCF of 123,870 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 117,3557
Given numbers has no common factors except 1. So, there LCM is their product i.e 416169
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 117,3557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,3557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,3557) x common factors =1 x 1 = 1
LCM(117,3557) = ( 117 × 3557 ) / 1
LCM(117,3557) = 416169 / 1
LCM(117,3557) = 416169
Lets's calculate GCF of 123,870
3 | 123, 870 |
41, 290 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416169/3
Therefore the LCM of Fractions 117/123,3557/870 is 138723
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 123,870 . The biggest common factor number is the GCF number.
So the greatest common factor 123,870 is 3.
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 117/123, 3557/870?
Answer: LCM of Numerators as per given numbers 117/123, 3557/870 is
LCM of Numerators i.e. for 117,3557 is 416169
GCF of denominators i.e. for 123,870 is 3.
Thus, LCM of Fractions is 138723.Finally, LCM of Fractions for 117/123, 3557/870 is 138723.