Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/753, 458/341, 907/592 quickly i.e. 20354894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/753, 458/341, 907/592 is 20354894.
LCM(49/753, 458/341, 907/592) = 20354894
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/753,458/341,907/592
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 49,458,907
Least Common Multiple of Numerators i.e. LCM of 49,458,907 is 20354894.
GCF of Denominators means GCF of 753,341,592 as per the given fractions.
GCF of 753,341,592 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,458,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 20354894
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 49,458,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,458,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,458,907) x common factors =1 x 1 = 1
LCM(49,458,907) = ( 49 × 458 × 907 ) / 1
LCM(49,458,907) = 20354894 / 1
LCM(49,458,907) = 20354894
Lets's calculate GCF of 753,341,592
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20354894/1
Therefore the LCM of Fractions 49/753,458/341,907/592 is 20354894
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 753,341,592 . The biggest common factor number is the GCF number.
So the greatest common factor 753,341,592 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 49/753, 458/341, 907/592?
Answer: LCM of Numerators as per given numbers 49/753, 458/341, 907/592 is
LCM of Numerators i.e. for 49,458,907 is 20354894
GCF of denominators i.e. for 753,341,592 is 1.
Thus, LCM of Fractions is 20354894.Finally, LCM of Fractions for 49/753, 458/341, 907/592 is 20354894.