Least Common Multiple of 160/75, 8769/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 160/75, 8769/361 quickly i.e. 1403040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 160/75, 8769/361 is 1403040.

LCM(160/75, 8769/361) = 1403040

LCM of 160/75, 8769/361

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 160/75,8769/361

Given numbers are 160/75,8769/361

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 160,8769

Least Common Multiple of Numerators i.e. LCM of 160,8769 is 1403040.

GCF of Denominators means GCF of 75,361 as per the given fractions.

GCF of 75,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 160,8769

LCM of Fractions 160/75,8769/361 is 1403040

Given numbers has no common factors except 1. So, there LCM is their product i.e 1403040

Least Common Multiple of 160,8769 with GCF Formula

Least Common Multiple of 160,8769 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 160,8769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,8769) = 1

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

GCF(160,8769) x common factors =1 x 1 = 1

LCM(160,8769) = ( 160 × 8769 ) / 1

LCM(160,8769) = 1403040 / 1

LCM(160,8769) = 1403040


Lets's calculate GCF of 75,361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1403040/1

Therefore the LCM of Fractions 160/75,8769/361 is 1403040

Greatest Common Factor of 75,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,361 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 75,361 . The biggest common factor number is the GCF number.
So the greatest common factor 75,361 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 160/75, 8769/361

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 160/75, 8769/361?

Answer: LCM of Numerators as per given numbers 160/75, 8769/361 is

LCM of Numerators i.e. for 160,8769 is 1403040

GCF of denominators i.e. for 75,361 is 1.

Thus, LCM of Fractions is 1403040.Finally, LCM of Fractions for 160/75, 8769/361 is 1403040.