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LCM of 432, 919, 509, 314

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


Find the LCM of 432, 919, 509, 314 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 432, 919, 509, 314. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 432,919,509,314

Given numbers are 432,919,509,314

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

The LCM of 432,919,509,314 is 31726100304.

Find LCM of 432,919,509,314 with Prime Factorization


2 432, 919, 509, 314
216, 919, 509, 157

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

2 x 216 x 919 x 509 x 157 = 31726100304

Therefore, the lowest common multiple of 432,919,509,314 is 31726100304.

LCM Formula to Find Lowest Common Multiple of 432,919,509,314

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.

432 x 919 x 509 x 314 = 63452200608

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

919 : 1, 919

509 : 1, 509

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,919,509,314, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

919:919

509:509

314:2x 157

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

2 = 2

Therefore, the value for common factors is 2.

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 = 63452200608/(1x2)

LCM = 63452200608/2

LCM = 31726100304

Thus, we can understand that the LCM of 432,919,509,314 is 31726100304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 432, 919, 509, 314

1. What is the LCM of 432, 919, 509, 314?

Answer: LCM of 432, 919, 509, 314 is 31726100304.

2. How to calculate the LCM of 432, 919, 509, 314?

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 432, 919, 509, 314.

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}.