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LCM of 786, 762, 691, 363, 756

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


Find the LCM of 786, 762, 691, 363, 756 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 786, 762, 691, 363, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 786,762,691,363,756

Given numbers are 786,762,691,363,756

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

The LCM of 786,762,691,363,756 is 1051623372492.

Find LCM of 786,762,691,363,756 with Prime Factorization


2 786, 762, 691, 363, 756
3 393, 381, 691, 363, 378
131, 127, 691, 121, 126

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

2 x 3 x 131 x 127 x 691 x 121 x 126 = 1051623372492

Therefore, the lowest common multiple of 786,762,691,363,756 is 1051623372492.

LCM Formula to Find Lowest Common Multiple of 786,762,691,363,756

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.

786 x 762 x 691 x 363 x 756 = 113575324229136

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

762 : 1, 2, 3, 6, 127, 254, 381, 762

691 : 1, 691

363 : 1, 3, 11, 33, 121, 363

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,762,691,363,756, is 1.

Now, the common factors can be found like this.

786:2x 3x 131

762:2x 3x 127

691:691

363:3x 11x 11

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

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 113575324229136/(1x108)

LCM = 113575324229136/108

LCM = 1051623372492

Thus, we can understand that the LCM of 786,762,691,363,756 is 1051623372492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 786, 762, 691, 363, 756

1. What is the LCM of 786, 762, 691, 363, 756?

Answer: LCM of 786, 762, 691, 363, 756 is 1051623372492.

2. How to calculate the LCM of 786, 762, 691, 363, 756?

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 786, 762, 691, 363, 756.

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}.