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LCM of 449, 520, 312, 667

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


Find the LCM of 449, 520, 312, 667 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 449, 520, 312, 667. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,520,312,667

Given numbers are 449,520,312,667

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

The LCM of 449,520,312,667 is 467193480.

Find LCM of 449,520,312,667 with Prime Factorization


2 449, 520, 312, 667
2 449, 260, 156, 667
2 449, 130, 78, 667
13 449, 65, 39, 667
449, 5, 3, 667

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

2 x 2 x 2 x 13 x 449 x 5 x 3 x 667 = 467193480

Therefore, the lowest common multiple of 449,520,312,667 is 467193480.

LCM Formula to Find Lowest Common Multiple of 449,520,312,667

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.

449 x 520 x 312 x 667 = 48588121920

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.

449 : 1, 449

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

667 : 1, 23, 29, 667

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,520,312,667, is 1.

Now, the common factors can be found like this.

449:449

520:2x 2x 2x 5x 13

312:2x 2x 2x 3x 13

667:23x 29

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 13 = 104

Therefore, the value for common factors is 104.

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 = 48588121920/(1x104)

LCM = 48588121920/104

LCM = 467193480

Thus, we can understand that the LCM of 449,520,312,667 is 467193480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 520, 312, 667

1. What is the LCM of 449, 520, 312, 667?

Answer: LCM of 449, 520, 312, 667 is 467193480.

2. How to calculate the LCM of 449, 520, 312, 667?

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 449, 520, 312, 667.

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}.