Least Common Multiple of 53/546, 787/702, 204/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/546, 787/702, 204/608 quickly i.e. 4254522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/546, 787/702, 204/608 is 4254522.

LCM(53/546, 787/702, 204/608) = 4254522

LCM of 53/546, 787/702, 204/608

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 53/546,787/702,204/608

Given numbers are 53/546,787/702,204/608

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 53,787,204

Least Common Multiple of Numerators i.e. LCM of 53,787,204 is 8509044.

GCF of Denominators means GCF of 546,702,608 as per the given fractions.

GCF of 546,702,608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,787,204

LCM of Fractions 53/546,787/702,204/608 is 4254522

Given numbers has no common factors except 1. So, there LCM is their product i.e 8509044

Least Common Multiple of 53,787,204 with GCF Formula

Least Common Multiple of 53,787,204 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 53,787,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,787,204) = 1

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

GCF(53,787,204) x common factors =1 x 1 = 1

LCM(53,787,204) = ( 53 × 787 × 204 ) / 1

LCM(53,787,204) = 8509044 / 1

LCM(53,787,204) = 8509044


Lets's calculate GCF of 546,702,608

2 546, 702, 608
273, 351, 304

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8509044/2

Therefore the LCM of Fractions 53/546,787/702,204/608 is 4254522

Greatest Common Factor of 546,702,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,702,608 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 546,702,608 . The biggest common factor number is the GCF number.
So the greatest common factor 546,702,608 is 2.


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 53/546, 787/702, 204/608

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 53/546, 787/702, 204/608?

Answer: LCM of Numerators as per given numbers 53/546, 787/702, 204/608 is

LCM of Numerators i.e. for 53,787,204 is 8509044

GCF of denominators i.e. for 546,702,608 is 2.

Thus, LCM of Fractions is 4254522.Finally, LCM of Fractions for 53/546, 787/702, 204/608 is 4254522.