Least Common Multiple of 565/91, 429/45, 448/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 565/91, 429/45, 448/89 quickly i.e. 108588480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/91, 429/45, 448/89 is 108588480.

LCM(565/91, 429/45, 448/89) = 108588480

LCM of 565/91, 429/45, 448/89

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 565/91,429/45,448/89

Given numbers are 565/91,429/45,448/89

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 565,429,448

Least Common Multiple of Numerators i.e. LCM of 565,429,448 is 108588480.

GCF of Denominators means GCF of 91,45,89 as per the given fractions.

GCF of 91,45,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,429,448

LCM of Fractions 565/91,429/45,448/89 is 108588480

Given numbers has no common factors except 1. So, there LCM is their product i.e 108588480

Least Common Multiple of 565,429,448 with GCF Formula

Least Common Multiple of 565,429,448 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 565,429,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,429,448) = 1

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

GCF(565,429,448) x common factors =1 x 1 = 1

LCM(565,429,448) = ( 565 × 429 × 448 ) / 1

LCM(565,429,448) = 108588480 / 1

LCM(565,429,448) = 108588480


Lets's calculate GCF of 91,45,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108588480/1

Therefore the LCM of Fractions 565/91,429/45,448/89 is 108588480

Greatest Common Factor of 91,45,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,45,89 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 91,45,89 . The biggest common factor number is the GCF number.
So the greatest common factor 91,45,89 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 565/91, 429/45, 448/89

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 565/91, 429/45, 448/89?

Answer: LCM of Numerators as per given numbers 565/91, 429/45, 448/89 is

LCM of Numerators i.e. for 565,429,448 is 108588480

GCF of denominators i.e. for 91,45,89 is 1.

Thus, LCM of Fractions is 108588480.Finally, LCM of Fractions for 565/91, 429/45, 448/89 is 108588480.