Least Common Multiple of 17/53, 50/64, 527/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/53, 50/64, 527/247 quickly i.e. 26350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/53, 50/64, 527/247 is 26350.

LCM(17/53, 50/64, 527/247) = 26350

LCM of 17/53, 50/64, 527/247

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 17/53,50/64,527/247

Given numbers are 17/53,50/64,527/247

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 17,50,527

Least Common Multiple of Numerators i.e. LCM of 17,50,527 is 26350.

GCF of Denominators means GCF of 53,64,247 as per the given fractions.

GCF of 53,64,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,50,527

LCM of Fractions 17/53,50/64,527/247 is 26350

17 17, 50, 527
1, 50, 31

∴ So the LCM of the given numbers is 17 x 1 x 50 x 31 = 26350

Least Common Multiple of 17,50,527 with GCF Formula

Least Common Multiple of 17,50,527 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 17,50,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,50,527) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,50,527) x common factors =1 x 17 = 17

LCM(17,50,527) = ( 17 × 50 × 527 ) / 17

LCM(17,50,527) = 447950 / 17

LCM(17,50,527) = 26350


Lets's calculate GCF of 53,64,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26350/1

Therefore the LCM of Fractions 17/53,50/64,527/247 is 26350

Greatest Common Factor of 53,64,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,64,247 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 53,64,247 . The biggest common factor number is the GCF number.
So the greatest common factor 53,64,247 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 17/53, 50/64, 527/247

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 17/53, 50/64, 527/247?

Answer: LCM of Numerators as per given numbers 17/53, 50/64, 527/247 is

LCM of Numerators i.e. for 17,50,527 is 26350

GCF of denominators i.e. for 53,64,247 is 1.

Thus, LCM of Fractions is 26350.Finally, LCM of Fractions for 17/53, 50/64, 527/247 is 26350.