Least Common Multiple of 202/59, 485/30, 553/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 202/59, 485/30, 553/738 quickly i.e. 54177410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 202/59, 485/30, 553/738 is 54177410.

LCM(202/59, 485/30, 553/738) = 54177410

LCM of 202/59, 485/30, 553/738

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 202/59,485/30,553/738

Given numbers are 202/59,485/30,553/738

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 202,485,553

Least Common Multiple of Numerators i.e. LCM of 202,485,553 is 54177410.

GCF of Denominators means GCF of 59,30,738 as per the given fractions.

GCF of 59,30,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 202,485,553

LCM of Fractions 202/59,485/30,553/738 is 54177410

Given numbers has no common factors except 1. So, there LCM is their product i.e 54177410

Least Common Multiple of 202,485,553 with GCF Formula

Least Common Multiple of 202,485,553 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 202,485,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,485,553) = 1

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

GCF(202,485,553) x common factors =1 x 1 = 1

LCM(202,485,553) = ( 202 × 485 × 553 ) / 1

LCM(202,485,553) = 54177410 / 1

LCM(202,485,553) = 54177410


Lets's calculate GCF of 59,30,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54177410/1

Therefore the LCM of Fractions 202/59,485/30,553/738 is 54177410

Greatest Common Factor of 59,30,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,30,738 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 59,30,738 . The biggest common factor number is the GCF number.
So the greatest common factor 59,30,738 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 202/59, 485/30, 553/738

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 202/59, 485/30, 553/738?

Answer: LCM of Numerators as per given numbers 202/59, 485/30, 553/738 is

LCM of Numerators i.e. for 202,485,553 is 54177410

GCF of denominators i.e. for 59,30,738 is 1.

Thus, LCM of Fractions is 54177410.Finally, LCM of Fractions for 202/59, 485/30, 553/738 is 54177410.