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LCM of 812, 829, 537, 895

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


Find the LCM of 812, 829, 537, 895 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 812, 829, 537, 895. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,829,537,895

Given numbers are 812,829,537,895

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

The LCM of 812,829,537,895 is 1807402380.

Find LCM of 812,829,537,895 with Prime Factorization


179 812, 829, 537, 895
812, 829, 3, 5

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

179 x 812 x 829 x 3 x 5 = 1807402380

Therefore, the lowest common multiple of 812,829,537,895 is 1807402380.

LCM Formula to Find Lowest Common Multiple of 812,829,537,895

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.

812 x 829 x 537 x 895 = 323525026020

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

829 : 1, 829

537 : 1, 3, 179, 537

895 : 1, 5, 179, 895

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,829,537,895, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

829:829

537:3x 179

895:5x 179

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

179 = 179

Therefore, the value for common factors is 179.

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 = 323525026020/(1x179)

LCM = 323525026020/179

LCM = 1807402380

Thus, we can understand that the LCM of 812,829,537,895 is 1807402380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 829, 537, 895

1. What is the LCM of 812, 829, 537, 895?

Answer: LCM of 812, 829, 537, 895 is 1807402380.

2. How to calculate the LCM of 812, 829, 537, 895?

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 812, 829, 537, 895.

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}.