Least Common Multiple of 2989/623, 8995/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2989/623, 8995/448 quickly i.e. 548695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2989/623, 8995/448 is 548695.

LCM(2989/623, 8995/448) = 548695

LCM of 2989/623, 8995/448

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 2989/623,8995/448

Given numbers are 2989/623,8995/448

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 2989,8995

Least Common Multiple of Numerators i.e. LCM of 2989,8995 is 3840865.

GCF of Denominators means GCF of 623,448 as per the given fractions.

GCF of 623,448 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2989,8995

LCM of Fractions 2989/623,8995/448 is 548695

7 2989, 8995
427, 1285

∴ So the LCM of the given numbers is 7 x 427 x 1285 = 3840865

Least Common Multiple of 2989,8995 with GCF Formula

Least Common Multiple of 2989,8995 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 2989,8995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2989,8995) = 7

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

GCF(2989,8995) x common factors =7 x 1 = 7

LCM(2989,8995) = ( 2989 × 8995 ) / 7

LCM(2989,8995) = 26886055 / 7

LCM(2989,8995) = 3840865


Lets's calculate GCF of 623,448

7 623, 448
89, 64

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3840865/7

Therefore the LCM of Fractions 2989/623,8995/448 is 548695

Greatest Common Factor of 623,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,448 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 623,448 . The biggest common factor number is the GCF number.
So the greatest common factor 623,448 is 7.


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 2989/623, 8995/448

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 2989/623, 8995/448?

Answer: LCM of Numerators as per given numbers 2989/623, 8995/448 is

LCM of Numerators i.e. for 2989,8995 is 3840865

GCF of denominators i.e. for 623,448 is 7.

Thus, LCM of Fractions is 548695.Finally, LCM of Fractions for 2989/623, 8995/448 is 548695.