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LCM of 423, 863, 299, 736

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


Find the LCM of 423, 863, 299, 736 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, 863, 299, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 423,863,299,736

Given numbers are 423,863,299,736

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

The LCM of 423,863,299,736 is 3492788832.

Find LCM of 423,863,299,736 with Prime Factorization


23 423, 863, 299, 736
423, 863, 13, 32

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

23 x 423 x 863 x 13 x 32 = 3492788832

Therefore, the lowest common multiple of 423,863,299,736 is 3492788832.

LCM Formula to Find Lowest Common Multiple of 423,863,299,736

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 863 x 299 x 736 = 80334143136

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

863 : 1, 863

299 : 1, 13, 23, 299

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,863,299,736, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

863:863

299:13x 23

736:2x 2x 2x 2x 2x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 80334143136/(1x23)

LCM = 80334143136/23

LCM = 3492788832

Thus, we can understand that the LCM of 423,863,299,736 is 3492788832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 423, 863, 299, 736

1. What is the LCM of 423, 863, 299, 736?

Answer: LCM of 423, 863, 299, 736 is 3492788832.

2. How to calculate the LCM of 423, 863, 299, 736?

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, 863, 299, 736.

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}.