Least Common Multiple of 802/89, 569/3660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/89, 569/3660 quickly i.e. 456338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/89, 569/3660 is 456338.

LCM(802/89, 569/3660) = 456338

LCM of 802/89, 569/3660

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 802/89,569/3660

Given numbers are 802/89,569/3660

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 802,569

Least Common Multiple of Numerators i.e. LCM of 802,569 is 456338.

GCF of Denominators means GCF of 89,3660 as per the given fractions.

GCF of 89,3660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,569

LCM of Fractions 802/89,569/3660 is 456338

Given numbers has no common factors except 1. So, there LCM is their product i.e 456338

Least Common Multiple of 802,569 with GCF Formula

Least Common Multiple of 802,569 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 802,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,569) = 1

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

GCF(802,569) x common factors =1 x 1 = 1

LCM(802,569) = ( 802 × 569 ) / 1

LCM(802,569) = 456338 / 1

LCM(802,569) = 456338


Lets's calculate GCF of 89,3660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456338/1

Therefore the LCM of Fractions 802/89,569/3660 is 456338

Greatest Common Factor of 89,3660 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,3660 By Matching Biggest Common Factor Method

Factors of 89

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

1,89

Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660

Greatest Common Factor

We found the factors 89,3660 . The biggest common factor number is the GCF number.
So the greatest common factor 89,3660 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/89, 569/3660

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 802/89, 569/3660?

Answer: LCM of Numerators as per given numbers 802/89, 569/3660 is

LCM of Numerators i.e. for 802,569 is 456338

GCF of denominators i.e. for 89,3660 is 1.

Thus, LCM of Fractions is 456338.Finally, LCM of Fractions for 802/89, 569/3660 is 456338.