Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/105, 763/578, 357/977 quickly i.e. 622608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/105, 763/578, 357/977 is 622608.
LCM(48/105, 763/578, 357/977) = 622608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/105,763/578,357/977
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 48,763,357
Least Common Multiple of Numerators i.e. LCM of 48,763,357 is 622608.
GCF of Denominators means GCF of 105,578,977 as per the given fractions.
GCF of 105,578,977 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,763,357
3 | 48, 763, 357 |
7 | 16, 763, 119 |
16, 109, 17 |
∴ So the LCM of the given numbers is 3 x 7 x 16 x 109 x 17 = 622608
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 48,763,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,763,357) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(48,763,357) x common factors =1 x 21 = 21
LCM(48,763,357) = ( 48 × 763 × 357 ) / 21
LCM(48,763,357) = 13074768 / 21
LCM(48,763,357) = 622608
Lets's calculate GCF of 105,578,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 622608/1
Therefore the LCM of Fractions 48/105,763/578,357/977 is 622608
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Greatest Common Factor
We found the factors 105,578,977 . The biggest common factor number is the GCF number.
So the greatest common factor 105,578,977 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 48/105, 763/578, 357/977?
Answer: LCM of Numerators as per given numbers 48/105, 763/578, 357/977 is
LCM of Numerators i.e. for 48,763,357 is 622608
GCF of denominators i.e. for 105,578,977 is 1.
Thus, LCM of Fractions is 622608.Finally, LCM of Fractions for 48/105, 763/578, 357/977 is 622608.