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LCM of 583, 464, 924, 668

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


Find the LCM of 583, 464, 924, 668 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 583, 464, 924, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 583,464,924,668

Given numbers are 583,464,924,668

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

The LCM of 583,464,924,668 is 948685584.

Find LCM of 583,464,924,668 with Prime Factorization


2 583, 464, 924, 668
2 583, 232, 462, 334
11 583, 116, 231, 167
53, 116, 21, 167

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

2 x 2 x 11 x 53 x 116 x 21 x 167 = 948685584

Therefore, the lowest common multiple of 583,464,924,668 is 948685584.

LCM Formula to Find Lowest Common Multiple of 583,464,924,668

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.

583 x 464 x 924 x 668 = 166968662784

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.

583 : 1, 11, 53, 583

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,464,924,668, is 1.

Now, the common factors can be found like this.

583:11x 53

464:2x 2x 2x 2x 29

924:2x 2x 3x 7x 11

668:2x 2x 167

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

2x 2x 2x 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 166968662784/(1x176)

LCM = 166968662784/176

LCM = 948685584

Thus, we can understand that the LCM of 583,464,924,668 is 948685584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 583, 464, 924, 668

1. What is the LCM of 583, 464, 924, 668?

Answer: LCM of 583, 464, 924, 668 is 948685584.

2. How to calculate the LCM of 583, 464, 924, 668?

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 583, 464, 924, 668.

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}.