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LCM of 697, 697, 122, 318

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


Find the LCM of 697, 697, 122, 318 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 697, 697, 122, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 697,697,122,318

Given numbers are 697,697,122,318

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

The LCM of 697,697,122,318 is 13520406.

Find LCM of 697,697,122,318 with Prime Factorization


2 697, 697, 122, 318
17 697, 697, 61, 159
41 41, 41, 61, 159
1, 1, 61, 159

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

2 x 17 x 41 x 1 x 1 x 61 x 159 = 13520406

Therefore, the lowest common multiple of 697,697,122,318 is 13520406.

LCM Formula to Find Lowest Common Multiple of 697,697,122,318

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.

697 x 697 x 122 x 318 = 18847445964

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.

697 : 1, 17, 41, 697

697 : 1, 17, 41, 697

122 : 1, 2, 61, 122

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,697,122,318, is 1.

Now, the common factors can be found like this.

697:17x 41

697:17x 41

122:2x 61

318:2x 3x 53

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

2x 17x 41 = 1394

Therefore, the value for common factors is 1394.

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 = 18847445964/(1x1394)

LCM = 18847445964/1394

LCM = 13520406

Thus, we can understand that the LCM of 697,697,122,318 is 13520406.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 697, 697, 122, 318

1. What is the LCM of 697, 697, 122, 318?

Answer: LCM of 697, 697, 122, 318 is 13520406.

2. How to calculate the LCM of 697, 697, 122, 318?

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 697, 697, 122, 318.

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}.