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LCM of 679, 408, 817, 292

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


Find the LCM of 679, 408, 817, 292 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 679, 408, 817, 292. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 679,408,817,292

Given numbers are 679,408,817,292

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

The LCM of 679,408,817,292 is 16522465512.

Find LCM of 679,408,817,292 with Prime Factorization


2 679, 408, 817, 292
2 679, 204, 817, 146
679, 102, 817, 73

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

2 x 2 x 679 x 102 x 817 x 73 = 16522465512

Therefore, the lowest common multiple of 679,408,817,292 is 16522465512.

LCM Formula to Find Lowest Common Multiple of 679,408,817,292

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.

679 x 408 x 817 x 292 = 66089862048

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.

679 : 1, 7, 97, 679

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

817 : 1, 19, 43, 817

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,408,817,292, is 1.

Now, the common factors can be found like this.

679:7x 97

408:2x 2x 2x 3x 17

817:19x 43

292:2x 2x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 66089862048/(1x4)

LCM = 66089862048/4

LCM = 16522465512

Thus, we can understand that the LCM of 679,408,817,292 is 16522465512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 679, 408, 817, 292

1. What is the LCM of 679, 408, 817, 292?

Answer: LCM of 679, 408, 817, 292 is 16522465512.

2. How to calculate the LCM of 679, 408, 817, 292?

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 679, 408, 817, 292.

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}.