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LCM of 596, 489, 432, 688

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


Find the LCM of 596, 489, 432, 688 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 596, 489, 432, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,489,432,688

Given numbers are 596,489,432,688

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

The LCM of 596,489,432,688 is 451155312.

Find LCM of 596,489,432,688 with Prime Factorization


2 596, 489, 432, 688
2 298, 489, 216, 344
2 149, 489, 108, 172
2 149, 489, 54, 86
3 149, 489, 27, 43
149, 163, 9, 43

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

2 x 2 x 2 x 2 x 3 x 149 x 163 x 9 x 43 = 451155312

Therefore, the lowest common multiple of 596,489,432,688 is 451155312.

LCM Formula to Find Lowest Common Multiple of 596,489,432,688

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.

596 x 489 x 432 x 688 = 86621819904

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.

596 : 1, 2, 4, 149, 298, 596

489 : 1, 3, 163, 489

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,489,432,688, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

489:3x 163

432:2x 2x 2x 2x 3x 3x 3

688:2x 2x 2x 2x 43

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 86621819904/(1x192)

LCM = 86621819904/192

LCM = 451155312

Thus, we can understand that the LCM of 596,489,432,688 is 451155312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 489, 432, 688

1. What is the LCM of 596, 489, 432, 688?

Answer: LCM of 596, 489, 432, 688 is 451155312.

2. How to calculate the LCM of 596, 489, 432, 688?

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 596, 489, 432, 688.

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}.