Least Common Multiple of 55/458, 8274/5038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/458, 8274/5038 quickly i.e. 455070/458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/458, 8274/5038 is 455070/458.

LCM(55/458, 8274/5038) = 455070/458

LCM of 55/458, 8274/5038

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 55/458,8274/5038

Given numbers are 55/458,8274/5038

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 55,8274

Least Common Multiple of Numerators i.e. LCM of 55,8274 is 455070.

GCF of Denominators means GCF of 458,5038 as per the given fractions.

GCF of 458,5038 is 458 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,8274

LCM of Fractions 55/458,8274/5038 is 455070/458

Given numbers has no common factors except 1. So, there LCM is their product i.e 455070

Least Common Multiple of 55,8274 with GCF Formula

Least Common Multiple of 55,8274 with GCF Formula

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 55,8274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,8274) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(55,8274) x common factors =1 x 1 = 1

LCM(55,8274) = ( 55 × 8274 ) / 1

LCM(55,8274) = 455070 / 1

LCM(55,8274) = 455070


Lets's calculate GCF of 458,5038

2 458, 5038
229 229, 2519
1, 11

∴ So the GCF of the given numbers is 2 x 229 = 458

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455070/458

Therefore the LCM of Fractions 55/458,8274/5038 is 455070/458

Greatest Common Factor of 458,5038 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,5038 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 5038

List of positive integer factors of 5038 that divides 5038 without a remainder.

1,2,11,22,229,458,2519,5038

Greatest Common Factor

We found the factors 458,5038 . The biggest common factor number is the GCF number.
So the greatest common factor 458,5038 is 458.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/458, 8274/5038

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 55/458, 8274/5038?

Answer: LCM of Numerators as per given numbers 55/458, 8274/5038 is

LCM of Numerators i.e. for 55,8274 is 455070

GCF of denominators i.e. for 458,5038 is 458.

Thus, LCM of Fractions is 455070/458.Finally, LCM of Fractions for 55/458, 8274/5038 is 455070/458.