Least Common Multiple of 5550/470, 4526/8565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5550/470, 4526/8565 quickly i.e. 2511930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5550/470, 4526/8565 is 2511930.

LCM(5550/470, 4526/8565) = 2511930

LCM of 5550/470, 4526/8565

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 5550/470,4526/8565

Given numbers are 5550/470,4526/8565

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 5550,4526

Least Common Multiple of Numerators i.e. LCM of 5550,4526 is 12559650.

GCF of Denominators means GCF of 470,8565 as per the given fractions.

GCF of 470,8565 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5550,4526

LCM of Fractions 5550/470,4526/8565 is 2511930

2 5550, 4526
2775, 2263

∴ So the LCM of the given numbers is 2 x 2775 x 2263 = 12559650

Least Common Multiple of 5550,4526 with GCF Formula

Least Common Multiple of 5550,4526 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 5550,4526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5550,4526) = 2

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

GCF(5550,4526) x common factors =2 x 1 = 2

LCM(5550,4526) = ( 5550 × 4526 ) / 2

LCM(5550,4526) = 25119300 / 2

LCM(5550,4526) = 12559650


Lets's calculate GCF of 470,8565

5 470, 8565
94, 1713

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12559650/5

Therefore the LCM of Fractions 5550/470,4526/8565 is 2511930

Greatest Common Factor of 470,8565 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,8565 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 8565

List of positive integer factors of 8565 that divides 8565 without a remainder.

1,3,5,15,571,1713,2855,8565

Greatest Common Factor

We found the factors 470,8565 . The biggest common factor number is the GCF number.
So the greatest common factor 470,8565 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5550/470, 4526/8565

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 5550/470, 4526/8565?

Answer: LCM of Numerators as per given numbers 5550/470, 4526/8565 is

LCM of Numerators i.e. for 5550,4526 is 12559650

GCF of denominators i.e. for 470,8565 is 5.

Thus, LCM of Fractions is 2511930.Finally, LCM of Fractions for 5550/470, 4526/8565 is 2511930.