Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 622/368, 7600/770 quickly i.e. 1181800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 622/368, 7600/770 is 1181800.
LCM(622/368, 7600/770) = 1181800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 622/368,7600/770
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 622,7600
Least Common Multiple of Numerators i.e. LCM of 622,7600 is 2363600.
GCF of Denominators means GCF of 368,770 as per the given fractions.
GCF of 368,770 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 622,7600
2 | 622, 7600 |
311, 3800 |
∴ So the LCM of the given numbers is 2 x 311 x 3800 = 2363600
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 622,7600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,7600) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,7600) x common factors =2 x 1 = 2
LCM(622,7600) = ( 622 × 7600 ) / 2
LCM(622,7600) = 4727200 / 2
LCM(622,7600) = 2363600
Lets's calculate GCF of 368,770
2 | 368, 770 |
184, 385 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2363600/2
Therefore the LCM of Fractions 622/368,7600/770 is 1181800
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 368,770 . The biggest common factor number is the GCF number.
So the greatest common factor 368,770 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 622/368, 7600/770?
Answer: LCM of Numerators as per given numbers 622/368, 7600/770 is
LCM of Numerators i.e. for 622,7600 is 2363600
GCF of denominators i.e. for 368,770 is 2.
Thus, LCM of Fractions is 1181800.Finally, LCM of Fractions for 622/368, 7600/770 is 1181800.