Least Common Multiple of 275/17, 470/6578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/17, 470/6578 quickly i.e. 25850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/17, 470/6578 is 25850.

LCM(275/17, 470/6578) = 25850

LCM of 275/17, 470/6578

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 275/17,470/6578

Given numbers are 275/17,470/6578

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 275,470

Least Common Multiple of Numerators i.e. LCM of 275,470 is 25850.

GCF of Denominators means GCF of 17,6578 as per the given fractions.

GCF of 17,6578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,470

LCM of Fractions 275/17,470/6578 is 25850

5 275, 470
55, 94

∴ So the LCM of the given numbers is 5 x 55 x 94 = 25850

Least Common Multiple of 275,470 with GCF Formula

Least Common Multiple of 275,470 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 275,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,470) = 5

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

GCF(275,470) x common factors =5 x 1 = 5

LCM(275,470) = ( 275 × 470 ) / 5

LCM(275,470) = 129250 / 5

LCM(275,470) = 25850


Lets's calculate GCF of 17,6578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25850/1

Therefore the LCM of Fractions 275/17,470/6578 is 25850

Greatest Common Factor of 17,6578 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,6578 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 6578

List of positive integer factors of 6578 that divides 6578 without a remainder.

1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578

Greatest Common Factor

We found the factors 17,6578 . The biggest common factor number is the GCF number.
So the greatest common factor 17,6578 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 275/17, 470/6578

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 275/17, 470/6578?

Answer: LCM of Numerators as per given numbers 275/17, 470/6578 is

LCM of Numerators i.e. for 275,470 is 25850

GCF of denominators i.e. for 17,6578 is 1.

Thus, LCM of Fractions is 25850.Finally, LCM of Fractions for 275/17, 470/6578 is 25850.