Given numbers are 416,744,728,874,176

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

The LCM of 416,744,728,874,176 is 1301812512.

Find LCM of 416,744,728,874,176 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 2 x 93 x 7 x 437 x 11 = 1301812512

Therefore, the lowest common multiple of 416,744,728,874,176 is 1301812512.

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.

416 x 744 x 728 x 874 x 176 = 34659456319488

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

874 : 1, 2, 19, 23, 38, 46, 437, 874

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,744,728,874,176, is 2.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

744:2x 2x 2x 3x 31

728:2x 2x 2x 7x 13

874:2x 19x 23

176:2x 2x 2x 2x 11

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 2x 2x 2x 2x 2x 2x 13 = 13312

Therefore, the value for common factors is 13312.

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 = 34659456319488/(2x13312)

LCM = 34659456319488/26624

LCM = 1301812512

Thus, we can understand that the LCM of 416,744,728,874,176 is 1301812512.

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

• LCM of 435, 679, 959, 931, 756
• LCM of 633, 865, 969, 874, 830
• LCM of 331, 407, 481, 148, 732
• LCM of 613, 251, 155, 844, 859
• LCM of 355, 622, 236, 122, 956

1. What is the LCM of 416, 744, 728, 874, 176?

Answer: LCM of 416, 744, 728, 874, 176 is 1301812512.

2. How to calculate the LCM of 416, 744, 728, 874, 176?

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 416, 744, 728, 874, 176.

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}.