Given numbers are 802,176,369,268,506

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

The LCM of 802,176,369,268,506 is 40131560304.

Find LCM of 802,176,369,268,506 with Prime Factorization

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

2 x 2 x 11 x 401 x 4 x 369 x 67 x 23 = 40131560304

Therefore, the lowest common multiple of 802,176,369,268,506 is 40131560304.

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 176 x 369 x 268 x 506 = 7063154613504

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

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

369 : 1, 3, 9, 41, 123, 369

268 : 1, 2, 4, 67, 134, 268

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,176,369,268,506, is 1.

Now, the common factors can be found like this.

802:2x 401

176:2x 2x 2x 2x 11

369:3x 3x 41

268:2x 2x 67

506:2x 11x 23

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 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 7063154613504/(1x176)

LCM = 7063154613504/176

LCM = 40131560304

Thus, we can understand that the LCM of 802,176,369,268,506 is 40131560304.

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

• LCM of 666, 161, 324, 632, 607
• LCM of 567, 971, 565, 215, 316
• LCM of 820, 870, 199, 112, 139
• LCM of 646, 561, 468, 818, 911
• LCM of 806, 657, 522, 774, 510

1. What is the LCM of 802, 176, 369, 268, 506?

Answer: LCM of 802, 176, 369, 268, 506 is 40131560304.

2. How to calculate the LCM of 802, 176, 369, 268, 506?

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, 176, 369, 268, 506.

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}.