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LCM of 756, 622, 633, 699, 297

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


Find the LCM of 756, 622, 633, 699, 297 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 756, 622, 633, 699, 297. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,622,633,699,297

Given numbers are 756,622,633,699,297

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

The LCM of 756,622,633,699,297 is 127149086988.

Find LCM of 756,622,633,699,297 with Prime Factorization


2 756, 622, 633, 699, 297
3 378, 311, 633, 699, 297
3 126, 311, 211, 233, 99
3 42, 311, 211, 233, 33
14, 311, 211, 233, 11

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

2 x 3 x 3 x 3 x 14 x 311 x 211 x 233 x 11 = 127149086988

Therefore, the lowest common multiple of 756,622,633,699,297 is 127149086988.

LCM Formula to Find Lowest Common Multiple of 756,622,633,699,297

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.

756 x 622 x 633 x 699 x 297 = 61794456276168

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

622 : 1, 2, 311, 622

633 : 1, 3, 211, 633

699 : 1, 3, 233, 699

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,622,633,699,297, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

622:2x 311

633:3x 211

699:3x 233

297:3x 3x 3x 11

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

2x 3x 3x 3x 3x 3 = 486

Therefore, the value for common factors is 486.

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 = 61794456276168/(1x486)

LCM = 61794456276168/486

LCM = 127149086988

Thus, we can understand that the LCM of 756,622,633,699,297 is 127149086988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 756, 622, 633, 699, 297

1. What is the LCM of 756, 622, 633, 699, 297?

Answer: LCM of 756, 622, 633, 699, 297 is 127149086988.

2. How to calculate the LCM of 756, 622, 633, 699, 297?

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 756, 622, 633, 699, 297.

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}.