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LCM of 230, 759, 423, 892

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


Find the LCM of 230, 759, 423, 892 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 230, 759, 423, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,759,423,892

Given numbers are 230,759,423,892

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

The LCM of 230,759,423,892 is 477304740.

Find LCM of 230,759,423,892 with Prime Factorization


2 230, 759, 423, 892
3 115, 759, 423, 446
23 115, 253, 141, 446
5, 11, 141, 446

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

2 x 3 x 23 x 5 x 11 x 141 x 446 = 477304740

Therefore, the lowest common multiple of 230,759,423,892 is 477304740.

LCM Formula to Find Lowest Common Multiple of 230,759,423,892

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.

230 x 759 x 423 x 892 = 65868054120

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

759 : 1, 3, 11, 23, 33, 69, 253, 759

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

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,759,423,892, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

759:3x 11x 23

423:3x 3x 47

892:2x 2x 223

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 65868054120/(1x138)

LCM = 65868054120/138

LCM = 477304740

Thus, we can understand that the LCM of 230,759,423,892 is 477304740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 759, 423, 892

1. What is the LCM of 230, 759, 423, 892?

Answer: LCM of 230, 759, 423, 892 is 477304740.

2. How to calculate the LCM of 230, 759, 423, 892?

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 230, 759, 423, 892.

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}.