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LCM of 816, 829, 625, 706

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


Find the LCM of 816, 829, 625, 706 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 816, 829, 625, 706. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,829,625,706

Given numbers are 816,829,625,706

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

The LCM of 816,829,625,706 is 149244870000.

Find LCM of 816,829,625,706 with Prime Factorization


2 816, 829, 625, 706
408, 829, 625, 353

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

2 x 408 x 829 x 625 x 353 = 149244870000

Therefore, the lowest common multiple of 816,829,625,706 is 149244870000.

LCM Formula to Find Lowest Common Multiple of 816,829,625,706

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.

816 x 829 x 625 x 706 = 298489740000

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

829 : 1, 829

625 : 1, 5, 25, 125, 625

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,829,625,706, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

829:829

625:5x 5x 5x 5

706:2x 353

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 = 298489740000/(1x2)

LCM = 298489740000/2

LCM = 149244870000

Thus, we can understand that the LCM of 816,829,625,706 is 149244870000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 829, 625, 706

1. What is the LCM of 816, 829, 625, 706?

Answer: LCM of 816, 829, 625, 706 is 149244870000.

2. How to calculate the LCM of 816, 829, 625, 706?

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 816, 829, 625, 706.

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}.