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LCM of 438, 472, 816, 489

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


Find the LCM of 438, 472, 816, 489 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 438, 472, 816, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 438,472,816,489

Given numbers are 438,472,816,489

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

The LCM of 438,472,816,489 is 572865456.

Find LCM of 438,472,816,489 with Prime Factorization


2 438, 472, 816, 489
2 219, 236, 408, 489
2 219, 118, 204, 489
3 219, 59, 102, 489
73, 59, 34, 163

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

2 x 2 x 2 x 3 x 73 x 59 x 34 x 163 = 572865456

Therefore, the lowest common multiple of 438,472,816,489 is 572865456.

LCM Formula to Find Lowest Common Multiple of 438,472,816,489

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.

438 x 472 x 816 x 489 = 82492625664

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

472 : 1, 2, 4, 8, 59, 118, 236, 472

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,472,816,489, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

472:2x 2x 2x 59

816:2x 2x 2x 2x 3x 17

489:3x 163

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 82492625664/(1x144)

LCM = 82492625664/144

LCM = 572865456

Thus, we can understand that the LCM of 438,472,816,489 is 572865456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 438, 472, 816, 489

1. What is the LCM of 438, 472, 816, 489?

Answer: LCM of 438, 472, 816, 489 is 572865456.

2. How to calculate the LCM of 438, 472, 816, 489?

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 438, 472, 816, 489.

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}.