Least Common Multiple of 160/25, 418/20, 382/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 160/25, 418/20, 382/521 quickly i.e. 6387040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 160/25, 418/20, 382/521 is 6387040.

LCM(160/25, 418/20, 382/521) = 6387040

LCM of 160/25, 418/20, 382/521

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 160/25,418/20,382/521

Given numbers are 160/25,418/20,382/521

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 160,418,382

Least Common Multiple of Numerators i.e. LCM of 160,418,382 is 6387040.

GCF of Denominators means GCF of 25,20,521 as per the given fractions.

GCF of 25,20,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 160,418,382

LCM of Fractions 160/25,418/20,382/521 is 6387040

2 160, 418, 382
80, 209, 191

∴ So the LCM of the given numbers is 2 x 80 x 209 x 191 = 6387040

Least Common Multiple of 160,418,382 with GCF Formula

Least Common Multiple of 160,418,382 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 160,418,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,418,382) = 2

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

GCF(160,418,382) x common factors =2 x 2 = 4

LCM(160,418,382) = ( 160 × 418 × 382 ) / 4

LCM(160,418,382) = 25548160 / 4

LCM(160,418,382) = 6387040


Lets's calculate GCF of 25,20,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6387040/1

Therefore the LCM of Fractions 160/25,418/20,382/521 is 6387040

Greatest Common Factor of 25,20,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,20,521 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 25,20,521 . The biggest common factor number is the GCF number.
So the greatest common factor 25,20,521 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 160/25, 418/20, 382/521

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 160/25, 418/20, 382/521?

Answer: LCM of Numerators as per given numbers 160/25, 418/20, 382/521 is

LCM of Numerators i.e. for 160,418,382 is 6387040

GCF of denominators i.e. for 25,20,521 is 1.

Thus, LCM of Fractions is 6387040.Finally, LCM of Fractions for 160/25, 418/20, 382/521 is 6387040.