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LCM of 696, 129, 817, 288, 437

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


Find the LCM of 696, 129, 817, 288, 437 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 696, 129, 817, 288, 437. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 696,129,817,288,437

Given numbers are 696,129,817,288,437

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

The LCM of 696,129,817,288,437 is 156942432.

Find LCM of 696,129,817,288,437 with Prime Factorization


2 696, 129, 817, 288, 437
2 348, 129, 817, 144, 437
2 174, 129, 817, 72, 437
3 87, 129, 817, 36, 437
19 29, 43, 817, 12, 437
43 29, 43, 43, 12, 23
29, 1, 1, 12, 23

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

2 x 2 x 2 x 3 x 19 x 43 x 29 x 1 x 1 x 12 x 23 = 156942432

Therefore, the lowest common multiple of 696,129,817,288,437 is 156942432.

LCM Formula to Find Lowest Common Multiple of 696,129,817,288,437

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.

696 x 129 x 817 x 288 x 437 = 9231981619968

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

129 : 1, 3, 43, 129

817 : 1, 19, 43, 817

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,129,817,288,437, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

129:3x 43

817:19x 43

288:2x 2x 2x 2x 2x 3x 3

437:19x 23

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 3x 3x 19x 43 = 58824

Therefore, the value for common factors is 58824.

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 = 9231981619968/(1x58824)

LCM = 9231981619968/58824

LCM = 156942432

Thus, we can understand that the LCM of 696,129,817,288,437 is 156942432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 696, 129, 817, 288, 437

1. What is the LCM of 696, 129, 817, 288, 437?

Answer: LCM of 696, 129, 817, 288, 437 is 156942432.

2. How to calculate the LCM of 696, 129, 817, 288, 437?

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 696, 129, 817, 288, 437.

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}.