Least Common Multiple of 53/522, 2805/6270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/522, 2805/6270 quickly i.e. 148665/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/522, 2805/6270 is 148665/6.

LCM(53/522, 2805/6270) = 148665/6

LCM of 53/522, 2805/6270

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 53/522,2805/6270

Given numbers are 53/522,2805/6270

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 53,2805

Least Common Multiple of Numerators i.e. LCM of 53,2805 is 148665.

GCF of Denominators means GCF of 522,6270 as per the given fractions.

GCF of 522,6270 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,2805

LCM of Fractions 53/522,2805/6270 is 148665/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 148665

Least Common Multiple of 53,2805 with GCF Formula

Least Common Multiple of 53,2805 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 53,2805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,2805) = 1

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

GCF(53,2805) x common factors =1 x 1 = 1

LCM(53,2805) = ( 53 × 2805 ) / 1

LCM(53,2805) = 148665 / 1

LCM(53,2805) = 148665


Lets's calculate GCF of 522,6270

2 522, 6270
3 261, 3135
87, 1045

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148665/6

Therefore the LCM of Fractions 53/522,2805/6270 is 148665/6

Greatest Common Factor of 522,6270 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,6270 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270

Greatest Common Factor

We found the factors 522,6270 . The biggest common factor number is the GCF number.
So the greatest common factor 522,6270 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/522, 2805/6270

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 53/522, 2805/6270?

Answer: LCM of Numerators as per given numbers 53/522, 2805/6270 is

LCM of Numerators i.e. for 53,2805 is 148665

GCF of denominators i.e. for 522,6270 is 6.

Thus, LCM of Fractions is 148665/6.Finally, LCM of Fractions for 53/522, 2805/6270 is 148665/6.