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LCM of 423, 789, 299, 578

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 423, 789, 299, 578 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 423, 789, 299, 578. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 423,789,299,578

Given numbers are 423,789,299,578

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 423,789,299,578 is 19226274678.

Find LCM of 423,789,299,578 with Prime Factorization


3 423, 789, 299, 578
141, 263, 299, 578

Multiply the prime numbers at the bottom and the left side.

3 x 141 x 263 x 299 x 578 = 19226274678

Therefore, the lowest common multiple of 423,789,299,578 is 19226274678.

LCM Formula to Find Lowest Common Multiple of 423,789,299,578

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

423 x 789 x 299 x 578 = 57678824034

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

423 : 1, 3, 9, 47, 141, 423

789 : 1, 3, 263, 789

299 : 1, 13, 23, 299

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,789,299,578, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

789:3x 263

299:13x 23

578:2x 17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 57678824034/(1x3)

LCM = 57678824034/3

LCM = 19226274678

Thus, we can understand that the LCM of 423,789,299,578 is 19226274678.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 423, 789, 299, 578

1. What is the LCM of 423, 789, 299, 578?

Answer: LCM of 423, 789, 299, 578 is 19226274678.

2. How to calculate the LCM of 423, 789, 299, 578?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 423, 789, 299, 578.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.