Least Common Multiple of 53/532, 28/302, 794/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/532, 28/302, 794/740 quickly i.e. 294574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/532, 28/302, 794/740 is 294574.

LCM(53/532, 28/302, 794/740) = 294574

LCM of 53/532, 28/302, 794/740

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 53/532,28/302,794/740

Given numbers are 53/532,28/302,794/740

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 53,28,794

Least Common Multiple of Numerators i.e. LCM of 53,28,794 is 589148.

GCF of Denominators means GCF of 532,302,740 as per the given fractions.

GCF of 532,302,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,28,794

LCM of Fractions 53/532,28/302,794/740 is 294574

2 53, 28, 794
53, 14, 397

∴ So the LCM of the given numbers is 2 x 53 x 14 x 397 = 589148

Least Common Multiple of 53,28,794 with GCF Formula

Least Common Multiple of 53,28,794 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 53,28,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,28,794) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,28,794) x common factors =1 x 2 = 2

LCM(53,28,794) = ( 53 × 28 × 794 ) / 2

LCM(53,28,794) = 1178296 / 2

LCM(53,28,794) = 589148


Lets's calculate GCF of 532,302,740

2 532, 302, 740
266, 151, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589148/2

Therefore the LCM of Fractions 53/532,28/302,794/740 is 294574

Greatest Common Factor of 532,302,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,302,740 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 532,302,740 . The biggest common factor number is the GCF number.
So the greatest common factor 532,302,740 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 53/532, 28/302, 794/740

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 53/532, 28/302, 794/740?

Answer: LCM of Numerators as per given numbers 53/532, 28/302, 794/740 is

LCM of Numerators i.e. for 53,28,794 is 589148

GCF of denominators i.e. for 532,302,740 is 2.

Thus, LCM of Fractions is 294574.Finally, LCM of Fractions for 53/532, 28/302, 794/740 is 294574.