Least Common Multiple of 32/357, 588/265, 280/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/357, 588/265, 280/687 quickly i.e. 23520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/357, 588/265, 280/687 is 23520.

LCM(32/357, 588/265, 280/687) = 23520

LCM of 32/357, 588/265, 280/687

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 32/357,588/265,280/687

Given numbers are 32/357,588/265,280/687

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 32,588,280

Least Common Multiple of Numerators i.e. LCM of 32,588,280 is 23520.

GCF of Denominators means GCF of 357,265,687 as per the given fractions.

GCF of 357,265,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,588,280

LCM of Fractions 32/357,588/265,280/687 is 23520

2 32, 588, 280
2 16, 294, 140
2 8, 147, 70
7 4, 147, 35
4, 21, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 4 x 21 x 5 = 23520

Least Common Multiple of 32,588,280 with GCF Formula

Least Common Multiple of 32,588,280 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 32,588,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,588,280) = 4

common factors(in case of two or more numbers have common factors) = 56

GCF(32,588,280) x common factors =4 x 56 = 224

LCM(32,588,280) = ( 32 × 588 × 280 ) / 224

LCM(32,588,280) = 5268480 / 224

LCM(32,588,280) = 23520


Lets's calculate GCF of 357,265,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23520/1

Therefore the LCM of Fractions 32/357,588/265,280/687 is 23520

Greatest Common Factor of 357,265,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,265,687 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 357,265,687 . The biggest common factor number is the GCF number.
So the greatest common factor 357,265,687 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 32/357, 588/265, 280/687

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 32/357, 588/265, 280/687?

Answer: LCM of Numerators as per given numbers 32/357, 588/265, 280/687 is

LCM of Numerators i.e. for 32,588,280 is 23520

GCF of denominators i.e. for 357,265,687 is 1.

Thus, LCM of Fractions is 23520.Finally, LCM of Fractions for 32/357, 588/265, 280/687 is 23520.