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LCM of 766, 361, 697, 244

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


Find the LCM of 766, 361, 697, 244 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 766, 361, 697, 244. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,361,697,244

Given numbers are 766,361,697,244

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

The LCM of 766,361,697,244 is 23514111884.

Find LCM of 766,361,697,244 with Prime Factorization


2 766, 361, 697, 244
383, 361, 697, 122

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

2 x 383 x 361 x 697 x 122 = 23514111884

Therefore, the lowest common multiple of 766,361,697,244 is 23514111884.

LCM Formula to Find Lowest Common Multiple of 766,361,697,244

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.

766 x 361 x 697 x 244 = 47028223768

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.

766 : 1, 2, 383, 766

361 : 1, 19, 361

697 : 1, 17, 41, 697

244 : 1, 2, 4, 61, 122, 244

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,361,697,244, is 1.

Now, the common factors can be found like this.

766:2x 383

361:19x 19

697:17x 41

244:2x 2x 61

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

2 = 2

Therefore, the value for common factors is 2.

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 = 47028223768/(1x2)

LCM = 47028223768/2

LCM = 23514111884

Thus, we can understand that the LCM of 766,361,697,244 is 23514111884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 361, 697, 244

1. What is the LCM of 766, 361, 697, 244?

Answer: LCM of 766, 361, 697, 244 is 23514111884.

2. How to calculate the LCM of 766, 361, 697, 244?

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 766, 361, 697, 244.

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}.