Least Common Multiple of 53/802, 832/509, 755/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/802, 832/509, 755/201 quickly i.e. 33292480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/802, 832/509, 755/201 is 33292480.

LCM(53/802, 832/509, 755/201) = 33292480

LCM of 53/802, 832/509, 755/201

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 53/802,832/509,755/201

Given numbers are 53/802,832/509,755/201

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 53,832,755

Least Common Multiple of Numerators i.e. LCM of 53,832,755 is 33292480.

GCF of Denominators means GCF of 802,509,201 as per the given fractions.

GCF of 802,509,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,832,755

LCM of Fractions 53/802,832/509,755/201 is 33292480

Given numbers has no common factors except 1. So, there LCM is their product i.e 33292480

Least Common Multiple of 53,832,755 with GCF Formula

Least Common Multiple of 53,832,755 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 53,832,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,832,755) = 1

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

GCF(53,832,755) x common factors =1 x 1 = 1

LCM(53,832,755) = ( 53 × 832 × 755 ) / 1

LCM(53,832,755) = 33292480 / 1

LCM(53,832,755) = 33292480


Lets's calculate GCF of 802,509,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33292480/1

Therefore the LCM of Fractions 53/802,832/509,755/201 is 33292480

Greatest Common Factor of 802,509,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,509,201 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 802,509,201 . The biggest common factor number is the GCF number.
So the greatest common factor 802,509,201 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/802, 832/509, 755/201

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 53/802, 832/509, 755/201?

Answer: LCM of Numerators as per given numbers 53/802, 832/509, 755/201 is

LCM of Numerators i.e. for 53,832,755 is 33292480

GCF of denominators i.e. for 802,509,201 is 1.

Thus, LCM of Fractions is 33292480.Finally, LCM of Fractions for 53/802, 832/509, 755/201 is 33292480.