Given numbers are 476,464,784,350

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

The LCM of 476,464,784,350 is 9662800.

Find LCM of 476,464,784,350 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 17 x 29 x 7 x 25 = 9662800

Therefore, the lowest common multiple of 476,464,784,350 is 9662800.

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.

476 x 464 x 784 x 350 = 60605081600

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,464,784,350, is 2.

Now, the common factors can be found like this.

476:2x 2x 7x 17

464:2x 2x 2x 2x 29

784:2x 2x 2x 2x 7x 7

350:2x 5x 5x 7

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 7x 7 = 3136

Therefore, the value for common factors is 3136.

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 = 60605081600/(2x3136)

LCM = 60605081600/6272

LCM = 9662800

Thus, we can understand that the LCM of 476,464,784,350 is 9662800.

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

• LCM of 269, 715, 805, 128
• LCM of 874, 399, 440, 618
• LCM of 374, 325, 441, 838
• LCM of 768, 157, 194, 121
• LCM of 847, 254, 705, 726

1. What is the LCM of 476, 464, 784, 350?

Answer: LCM of 476, 464, 784, 350 is 9662800.

2. How to calculate the LCM of 476, 464, 784, 350?

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 476, 464, 784, 350.

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}.