Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 190/744, 4308/951 quickly i.e. 136420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 190/744, 4308/951 is 136420.
LCM(190/744, 4308/951) = 136420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 190/744,4308/951
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 190,4308
Least Common Multiple of Numerators i.e. LCM of 190,4308 is 409260.
GCF of Denominators means GCF of 744,951 as per the given fractions.
GCF of 744,951 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 190,4308
2 | 190, 4308 |
95, 2154 |
∴ So the LCM of the given numbers is 2 x 95 x 2154 = 409260
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 190,4308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,4308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,4308) x common factors =2 x 1 = 2
LCM(190,4308) = ( 190 × 4308 ) / 2
LCM(190,4308) = 818520 / 2
LCM(190,4308) = 409260
Lets's calculate GCF of 744,951
3 | 744, 951 |
248, 317 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409260/3
Therefore the LCM of Fractions 190/744,4308/951 is 136420
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 744,951 . The biggest common factor number is the GCF number.
So the greatest common factor 744,951 is 3.
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 190/744, 4308/951?
Answer: LCM of Numerators as per given numbers 190/744, 4308/951 is
LCM of Numerators i.e. for 190,4308 is 409260
GCF of denominators i.e. for 744,951 is 3.
Thus, LCM of Fractions is 136420.Finally, LCM of Fractions for 190/744, 4308/951 is 136420.