Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 700/855, 3583/7620 quickly i.e. 2508100/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 700/855, 3583/7620 is 2508100/15.
LCM(700/855, 3583/7620) = 2508100/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 700/855,3583/7620
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 700,3583
Least Common Multiple of Numerators i.e. LCM of 700,3583 is 2508100.
GCF of Denominators means GCF of 855,7620 as per the given fractions.
GCF of 855,7620 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 700,3583
Given numbers has no common factors except 1. So, there LCM is their product i.e 2508100
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 700,3583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,3583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(700,3583) x common factors =1 x 1 = 1
LCM(700,3583) = ( 700 × 3583 ) / 1
LCM(700,3583) = 2508100 / 1
LCM(700,3583) = 2508100
Lets's calculate GCF of 855,7620
3 | 855, 7620 |
5 | 285, 2540 |
57, 508 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2508100/15
Therefore the LCM of Fractions 700/855,3583/7620 is 2508100/15
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 7620
List of positive integer factors of 7620 that divides 7620 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620
Greatest Common Factor
We found the factors 855,7620 . The biggest common factor number is the GCF number.
So the greatest common factor 855,7620 is 15.
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 700/855, 3583/7620?
Answer: LCM of Numerators as per given numbers 700/855, 3583/7620 is
LCM of Numerators i.e. for 700,3583 is 2508100
GCF of denominators i.e. for 855,7620 is 15.
Thus, LCM of Fractions is 2508100/15.Finally, LCM of Fractions for 700/855, 3583/7620 is 2508100/15.