Least Common Multiple of 527/51, 507/5302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 527/51, 507/5302 quickly i.e. 267189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 527/51, 507/5302 is 267189.

LCM(527/51, 507/5302) = 267189

LCM of 527/51, 507/5302

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 527/51,507/5302

Given numbers are 527/51,507/5302

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 527,507

Least Common Multiple of Numerators i.e. LCM of 527,507 is 267189.

GCF of Denominators means GCF of 51,5302 as per the given fractions.

GCF of 51,5302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 527,507

LCM of Fractions 527/51,507/5302 is 267189

Given numbers has no common factors except 1. So, there LCM is their product i.e 267189

Least Common Multiple of 527,507 with GCF Formula

Least Common Multiple of 527,507 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 527,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,507) = 1

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

GCF(527,507) x common factors =1 x 1 = 1

LCM(527,507) = ( 527 × 507 ) / 1

LCM(527,507) = 267189 / 1

LCM(527,507) = 267189


Lets's calculate GCF of 51,5302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267189/1

Therefore the LCM of Fractions 527/51,507/5302 is 267189

Greatest Common Factor of 51,5302 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,5302 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1,2,11,22,241,482,2651,5302

Greatest Common Factor

We found the factors 51,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 51,5302 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 527/51, 507/5302

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 527/51, 507/5302?

Answer: LCM of Numerators as per given numbers 527/51, 507/5302 is

LCM of Numerators i.e. for 527,507 is 267189

GCF of denominators i.e. for 51,5302 is 1.

Thus, LCM of Fractions is 267189.Finally, LCM of Fractions for 527/51, 507/5302 is 267189.