Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 463/10, 700/392 quickly i.e. 162050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 463/10, 700/392 is 162050.
LCM(463/10, 700/392) = 162050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 463/10,700/392
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 463,700
Least Common Multiple of Numerators i.e. LCM of 463,700 is 324100.
GCF of Denominators means GCF of 10,392 as per the given fractions.
GCF of 10,392 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 463,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 324100
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 463,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,700) x common factors =1 x 1 = 1
LCM(463,700) = ( 463 × 700 ) / 1
LCM(463,700) = 324100 / 1
LCM(463,700) = 324100
Lets's calculate GCF of 10,392
2 | 10, 392 |
5, 196 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324100/2
Therefore the LCM of Fractions 463/10,700/392 is 162050
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 10,392 . The biggest common factor number is the GCF number.
So the greatest common factor 10,392 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 463/10, 700/392?
Answer: LCM of Numerators as per given numbers 463/10, 700/392 is
LCM of Numerators i.e. for 463,700 is 324100
GCF of denominators i.e. for 10,392 is 2.
Thus, LCM of Fractions is 162050.Finally, LCM of Fractions for 463/10, 700/392 is 162050.