Given numbers are 802,915,298,212,742

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

The LCM of 802,915,298,212,742 is 81130777140.

Find LCM of 802,915,298,212,742 with Prime Factorization

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

2 x 53 x 401 x 915 x 149 x 2 x 7 = 81130777140

Therefore, the lowest common multiple of 802,915,298,212,742 is 81130777140.

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.

802 x 915 x 298 x 212 x 742 = 34399449507360

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.

802 : 1, 2, 401, 802

915 : 1, 3, 5, 15, 61, 183, 305, 915

298 : 1, 2, 149, 298

212 : 1, 2, 4, 53, 106, 212

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,915,298,212,742, is 1.

Now, the common factors can be found like this.

802:2x 401

915:3x 5x 61

298:2x 149

212:2x 2x 53

742:2x 7x 53

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 2x 53 = 424

Therefore, the value for common factors is 424.

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 = 34399449507360/(1x424)

LCM = 34399449507360/424

LCM = 81130777140

Thus, we can understand that the LCM of 802,915,298,212,742 is 81130777140.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 785, 907, 955, 371, 466
• LCM of 369, 300, 921, 303, 100
• LCM of 606, 912, 917, 123, 100
• LCM of 995, 163, 422, 820, 519
• LCM of 429, 513, 974, 498, 719

1. What is the LCM of 802, 915, 298, 212, 742?

Answer: LCM of 802, 915, 298, 212, 742 is 81130777140.

2. How to calculate the LCM of 802, 915, 298, 212, 742?

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 802, 915, 298, 212, 742.

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}.