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LCM of 813, 756, 437, 892, 473

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


Find the LCM of 813, 756, 437, 892, 473 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 813, 756, 437, 892, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,756,437,892,473

Given numbers are 813,756,437,892,473

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

The LCM of 813,756,437,892,473 is 9443620518948.

Find LCM of 813,756,437,892,473 with Prime Factorization


2 813, 756, 437, 892, 473
2 813, 378, 437, 446, 473
3 813, 189, 437, 223, 473
271, 63, 437, 223, 473

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

2 x 2 x 3 x 271 x 63 x 437 x 223 x 473 = 9443620518948

Therefore, the lowest common multiple of 813,756,437,892,473 is 9443620518948.

LCM Formula to Find Lowest Common Multiple of 813,756,437,892,473

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.

813 x 756 x 437 x 892 x 473 = 113323446227376

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.

813 : 1, 3, 271, 813

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

437 : 1, 19, 23, 437

892 : 1, 2, 4, 223, 446, 892

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,756,437,892,473, is 1.

Now, the common factors can be found like this.

813:3x 271

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

437:19x 23

892:2x 2x 223

473:11x 43

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 3 = 12

Therefore, the value for common factors is 12.

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 = 113323446227376/(1x12)

LCM = 113323446227376/12

LCM = 9443620518948

Thus, we can understand that the LCM of 813,756,437,892,473 is 9443620518948.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 756, 437, 892, 473

1. What is the LCM of 813, 756, 437, 892, 473?

Answer: LCM of 813, 756, 437, 892, 473 is 9443620518948.

2. How to calculate the LCM of 813, 756, 437, 892, 473?

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 813, 756, 437, 892, 473.

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}.