Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 696/841, 6207/2610 quickly i.e. 49656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 696/841, 6207/2610 is 49656.
LCM(696/841, 6207/2610) = 49656
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 696/841,6207/2610
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 696,6207
Least Common Multiple of Numerators i.e. LCM of 696,6207 is 1440024.
GCF of Denominators means GCF of 841,2610 as per the given fractions.
GCF of 841,2610 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 696,6207
3 | 696, 6207 |
232, 2069 |
∴ So the LCM of the given numbers is 3 x 232 x 2069 = 1440024
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 696,6207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,6207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(696,6207) x common factors =3 x 1 = 3
LCM(696,6207) = ( 696 × 6207 ) / 3
LCM(696,6207) = 4320072 / 3
LCM(696,6207) = 1440024
Lets's calculate GCF of 841,2610
29 | 841, 2610 |
29, 90 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440024/29
Therefore the LCM of Fractions 696/841,6207/2610 is 49656
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 2610
List of positive integer factors of 2610 that divides 2610 without a remainder.
1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610
Greatest Common Factor
We found the factors 841,2610 . The biggest common factor number is the GCF number.
So the greatest common factor 841,2610 is 29.
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 696/841, 6207/2610?
Answer: LCM of Numerators as per given numbers 696/841, 6207/2610 is
LCM of Numerators i.e. for 696,6207 is 1440024
GCF of denominators i.e. for 841,2610 is 29.
Thus, LCM of Fractions is 49656.Finally, LCM of Fractions for 696/841, 6207/2610 is 49656.