Least Common Multiple of 145/55, 205/56, 173/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 145/55, 205/56, 173/571 quickly i.e. 1028485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/55, 205/56, 173/571 is 1028485.

LCM(145/55, 205/56, 173/571) = 1028485

LCM of 145/55, 205/56, 173/571

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 145/55,205/56,173/571

Given numbers are 145/55,205/56,173/571

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 145,205,173

Least Common Multiple of Numerators i.e. LCM of 145,205,173 is 1028485.

GCF of Denominators means GCF of 55,56,571 as per the given fractions.

GCF of 55,56,571 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,205,173

LCM of Fractions 145/55,205/56,173/571 is 1028485

5 145, 205, 173
29, 41, 173

∴ So the LCM of the given numbers is 5 x 29 x 41 x 173 = 1028485

Least Common Multiple of 145,205,173 with GCF Formula

Least Common Multiple of 145,205,173 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 145,205,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,205,173) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(145,205,173) x common factors =1 x 5 = 5

LCM(145,205,173) = ( 145 × 205 × 173 ) / 5

LCM(145,205,173) = 5142425 / 5

LCM(145,205,173) = 1028485


Lets's calculate GCF of 55,56,571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1028485/1

Therefore the LCM of Fractions 145/55,205/56,173/571 is 1028485

Greatest Common Factor of 55,56,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,56,571 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 55,56,571 . The biggest common factor number is the GCF number.
So the greatest common factor 55,56,571 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 145/55, 205/56, 173/571

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 145/55, 205/56, 173/571?

Answer: LCM of Numerators as per given numbers 145/55, 205/56, 173/571 is

LCM of Numerators i.e. for 145,205,173 is 1028485

GCF of denominators i.e. for 55,56,571 is 1.

Thus, LCM of Fractions is 1028485.Finally, LCM of Fractions for 145/55, 205/56, 173/571 is 1028485.