Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 147/626, 2120/8502 quickly i.e. 155820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 147/626, 2120/8502 is 155820.
LCM(147/626, 2120/8502) = 155820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 147/626,2120/8502
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 147,2120
Least Common Multiple of Numerators i.e. LCM of 147,2120 is 311640.
GCF of Denominators means GCF of 626,8502 as per the given fractions.
GCF of 626,8502 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 147,2120
Given numbers has no common factors except 1. So, there LCM is their product i.e 311640
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 147,2120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,2120) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,2120) x common factors =1 x 1 = 1
LCM(147,2120) = ( 147 × 2120 ) / 1
LCM(147,2120) = 311640 / 1
LCM(147,2120) = 311640
Lets's calculate GCF of 626,8502
2 | 626, 8502 |
313, 4251 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311640/2
Therefore the LCM of Fractions 147/626,2120/8502 is 155820
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 8502
List of positive integer factors of 8502 that divides 8502 without a remainder.
1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502
Greatest Common Factor
We found the factors 626,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 626,8502 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 147/626, 2120/8502?
Answer: LCM of Numerators as per given numbers 147/626, 2120/8502 is
LCM of Numerators i.e. for 147,2120 is 311640
GCF of denominators i.e. for 626,8502 is 2.
Thus, LCM of Fractions is 155820.Finally, LCM of Fractions for 147/626, 2120/8502 is 155820.