Least Common Multiple of 4294/474, 5504/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4294/474, 5504/505 quickly i.e. 11817088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4294/474, 5504/505 is 11817088.

LCM(4294/474, 5504/505) = 11817088

LCM of 4294/474, 5504/505

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 4294/474,5504/505

Given numbers are 4294/474,5504/505

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 4294,5504

Least Common Multiple of Numerators i.e. LCM of 4294,5504 is 11817088.

GCF of Denominators means GCF of 474,505 as per the given fractions.

GCF of 474,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4294,5504

LCM of Fractions 4294/474,5504/505 is 11817088

2 4294, 5504
2147, 2752

∴ So the LCM of the given numbers is 2 x 2147 x 2752 = 11817088

Least Common Multiple of 4294,5504 with GCF Formula

Least Common Multiple of 4294,5504 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 4294,5504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4294,5504) = 2

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

GCF(4294,5504) x common factors =2 x 1 = 2

LCM(4294,5504) = ( 4294 × 5504 ) / 2

LCM(4294,5504) = 23634176 / 2

LCM(4294,5504) = 11817088


Lets's calculate GCF of 474,505

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11817088/1

Therefore the LCM of Fractions 4294/474,5504/505 is 11817088

Greatest Common Factor of 474,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,505 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 474,505 . The biggest common factor number is the GCF number.
So the greatest common factor 474,505 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4294/474, 5504/505

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 4294/474, 5504/505?

Answer: LCM of Numerators as per given numbers 4294/474, 5504/505 is

LCM of Numerators i.e. for 4294,5504 is 11817088

GCF of denominators i.e. for 474,505 is 1.

Thus, LCM of Fractions is 11817088.Finally, LCM of Fractions for 4294/474, 5504/505 is 11817088.