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LCM of 692, 619, 402, 514, 432

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


Find the LCM of 692, 619, 402, 514, 432 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 692, 619, 402, 514, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,619,402,514,432

Given numbers are 692,619,402,514,432

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

The LCM of 692,619,402,514,432 is 796578214896.

Find LCM of 692,619,402,514,432 with Prime Factorization


2 692, 619, 402, 514, 432
2 346, 619, 201, 257, 216
3 173, 619, 201, 257, 108
173, 619, 67, 257, 36

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

2 x 2 x 3 x 173 x 619 x 67 x 257 x 36 = 796578214896

Therefore, the lowest common multiple of 692,619,402,514,432 is 796578214896.

LCM Formula to Find Lowest Common Multiple of 692,619,402,514,432

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.

692 x 619 x 402 x 514 x 432 = 38235754315008

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.

692 : 1, 2, 4, 173, 346, 692

619 : 1, 619

402 : 1, 2, 3, 6, 67, 134, 201, 402

514 : 1, 2, 257, 514

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,619,402,514,432, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

619:619

402:2x 3x 67

514:2x 257

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

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 3 = 48

Therefore, the value for common factors is 48.

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 = 38235754315008/(1x48)

LCM = 38235754315008/48

LCM = 796578214896

Thus, we can understand that the LCM of 692,619,402,514,432 is 796578214896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 692, 619, 402, 514, 432

1. What is the LCM of 692, 619, 402, 514, 432?

Answer: LCM of 692, 619, 402, 514, 432 is 796578214896.

2. How to calculate the LCM of 692, 619, 402, 514, 432?

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 692, 619, 402, 514, 432.

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}.