Least Common Multiple of 80/28, 160/16, 170/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/28, 160/16, 170/741 quickly i.e. 2720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/28, 160/16, 170/741 is 2720.

LCM(80/28, 160/16, 170/741) = 2720

LCM of 80/28, 160/16, 170/741

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 80/28,160/16,170/741

Given numbers are 80/28,160/16,170/741

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 80,160,170

Least Common Multiple of Numerators i.e. LCM of 80,160,170 is 2720.

GCF of Denominators means GCF of 28,16,741 as per the given fractions.

GCF of 28,16,741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,160,170

LCM of Fractions 80/28,160/16,170/741 is 2720

2 80, 160, 170
2 40, 80, 85
2 20, 40, 85
2 10, 20, 85
5 5, 10, 85
1, 2, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 2 x 17 = 2720

Least Common Multiple of 80,160,170 with GCF Formula

Least Common Multiple of 80,160,170 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 80,160,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,160,170) = 10

common factors(in case of two or more numbers have common factors) = 80

GCF(80,160,170) x common factors =10 x 80 = 800

LCM(80,160,170) = ( 80 × 160 × 170 ) / 800

LCM(80,160,170) = 2176000 / 800

LCM(80,160,170) = 2720


Lets's calculate GCF of 28,16,741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2720/1

Therefore the LCM of Fractions 80/28,160/16,170/741 is 2720

Greatest Common Factor of 28,16,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,16,741 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 28,16,741 . The biggest common factor number is the GCF number.
So the greatest common factor 28,16,741 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 80/28, 160/16, 170/741

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 80/28, 160/16, 170/741?

Answer: LCM of Numerators as per given numbers 80/28, 160/16, 170/741 is

LCM of Numerators i.e. for 80,160,170 is 2720

GCF of denominators i.e. for 28,16,741 is 1.

Thus, LCM of Fractions is 2720.Finally, LCM of Fractions for 80/28, 160/16, 170/741 is 2720.