Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/830, 770/551, 122/207 quickly i.e. 1456070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/830, 770/551, 122/207 is 1456070.
LCM(62/830, 770/551, 122/207) = 1456070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/830,770/551,122/207
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 62,770,122
Least Common Multiple of Numerators i.e. LCM of 62,770,122 is 1456070.
GCF of Denominators means GCF of 830,551,207 as per the given fractions.
GCF of 830,551,207 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,770,122
2 | 62, 770, 122 |
31, 385, 61 |
∴ So the LCM of the given numbers is 2 x 31 x 385 x 61 = 1456070
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 62,770,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,770,122) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,770,122) x common factors =2 x 2 = 4
LCM(62,770,122) = ( 62 × 770 × 122 ) / 4
LCM(62,770,122) = 5824280 / 4
LCM(62,770,122) = 1456070
Lets's calculate GCF of 830,551,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1456070/1
Therefore the LCM of Fractions 62/830,770/551,122/207 is 1456070
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Greatest Common Factor
We found the factors 830,551,207 . The biggest common factor number is the GCF number.
So the greatest common factor 830,551,207 is 1.
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 62/830, 770/551, 122/207?
Answer: LCM of Numerators as per given numbers 62/830, 770/551, 122/207 is
LCM of Numerators i.e. for 62,770,122 is 1456070
GCF of denominators i.e. for 830,551,207 is 1.
Thus, LCM of Fractions is 1456070.Finally, LCM of Fractions for 62/830, 770/551, 122/207 is 1456070.