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LCM of 458, 590, 907, 958

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


Find the LCM of 458, 590, 907, 958 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 458, 590, 907, 958. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,590,907,958

Given numbers are 458,590,907,958

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

The LCM of 458,590,907,958 is 58698944830.

Find LCM of 458,590,907,958 with Prime Factorization


2 458, 590, 907, 958
229, 295, 907, 479

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

2 x 229 x 295 x 907 x 479 = 58698944830

Therefore, the lowest common multiple of 458,590,907,958 is 58698944830.

LCM Formula to Find Lowest Common Multiple of 458,590,907,958

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.

458 x 590 x 907 x 958 = 234795779320

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.

458 : 1, 2, 229, 458

590 : 1, 2, 5, 10, 59, 118, 295, 590

907 : 1, 907

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,590,907,958, is 1.

Now, the common factors can be found like this.

458:2x 229

590:2x 5x 59

907:907

958:2x 479

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 234795779320/(1x4)

LCM = 234795779320/4

LCM = 58698944830

Thus, we can understand that the LCM of 458,590,907,958 is 58698944830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 590, 907, 958

1. What is the LCM of 458, 590, 907, 958?

Answer: LCM of 458, 590, 907, 958 is 58698944830.

2. How to calculate the LCM of 458, 590, 907, 958?

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 458, 590, 907, 958.

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}.