Least Common Multiple of 8980/455, 3105/2889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8980/455, 3105/2889 quickly i.e. 5576580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8980/455, 3105/2889 is 5576580.

LCM(8980/455, 3105/2889) = 5576580

LCM of 8980/455, 3105/2889

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 8980/455,3105/2889

Given numbers are 8980/455,3105/2889

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 8980,3105

Least Common Multiple of Numerators i.e. LCM of 8980,3105 is 5576580.

GCF of Denominators means GCF of 455,2889 as per the given fractions.

GCF of 455,2889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8980,3105

LCM of Fractions 8980/455,3105/2889 is 5576580

5 8980, 3105
1796, 621

∴ So the LCM of the given numbers is 5 x 1796 x 621 = 5576580

Least Common Multiple of 8980,3105 with GCF Formula

Least Common Multiple of 8980,3105 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 8980,3105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8980,3105) = 5

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

GCF(8980,3105) x common factors =5 x 1 = 5

LCM(8980,3105) = ( 8980 × 3105 ) / 5

LCM(8980,3105) = 27882900 / 5

LCM(8980,3105) = 5576580


Lets's calculate GCF of 455,2889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5576580/1

Therefore the LCM of Fractions 8980/455,3105/2889 is 5576580

Greatest Common Factor of 455,2889 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,2889 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 2889

List of positive integer factors of 2889 that divides 2889 without a remainder.

1,3,9,27,107,321,963,2889

Greatest Common Factor

We found the factors 455,2889 . The biggest common factor number is the GCF number.
So the greatest common factor 455,2889 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8980/455, 3105/2889

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 8980/455, 3105/2889?

Answer: LCM of Numerators as per given numbers 8980/455, 3105/2889 is

LCM of Numerators i.e. for 8980,3105 is 5576580

GCF of denominators i.e. for 455,2889 is 1.

Thus, LCM of Fractions is 5576580.Finally, LCM of Fractions for 8980/455, 3105/2889 is 5576580.