Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/458, 571/764, 355/126 quickly i.e. 7500085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/458, 571/764, 355/126 is 7500085.
LCM(74/458, 571/764, 355/126) = 7500085
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/458,571/764,355/126
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 74,571,355
Least Common Multiple of Numerators i.e. LCM of 74,571,355 is 15000170.
GCF of Denominators means GCF of 458,764,126 as per the given fractions.
GCF of 458,764,126 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,571,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 15000170
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 74,571,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,571,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,571,355) x common factors =1 x 1 = 1
LCM(74,571,355) = ( 74 × 571 × 355 ) / 1
LCM(74,571,355) = 15000170 / 1
LCM(74,571,355) = 15000170
Lets's calculate GCF of 458,764,126
2 | 458, 764, 126 |
229, 382, 63 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15000170/2
Therefore the LCM of Fractions 74/458,571/764,355/126 is 7500085
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 458,764,126 . The biggest common factor number is the GCF number.
So the greatest common factor 458,764,126 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 74/458, 571/764, 355/126?
Answer: LCM of Numerators as per given numbers 74/458, 571/764, 355/126 is
LCM of Numerators i.e. for 74,571,355 is 15000170
GCF of denominators i.e. for 458,764,126 is 2.
Thus, LCM of Fractions is 7500085.Finally, LCM of Fractions for 74/458, 571/764, 355/126 is 7500085.