Given numbers are 474,512,298,880

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

The LCM of 474,512,298,880 is 994414080.

Find LCM of 474,512,298,880 with Prime Factorization

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

2 x 2 x 2 x 2 x 237 x 32 x 149 x 55 = 994414080

Therefore, the lowest common multiple of 474,512,298,880 is 994414080.

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.

474 x 512 x 298 x 880 = 63642501120

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

298 : 1, 2, 149, 298

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,512,298,880, is 2.

Now, the common factors can be found like this.

474:2x 3x 79

512:2x 2x 2x 2x 2x 2x 2x 2x 2

298:2x 149

880:2x 2x 2x 2x 5x 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 2 = 32

Therefore, the value for common factors is 32.

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 = 63642501120/(2x32)

LCM = 63642501120/64

LCM = 994414080

Thus, we can understand that the LCM of 474,512,298,880 is 994414080.

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

• LCM of 334, 642, 131, 386
• LCM of 914, 728, 248, 705
• LCM of 669, 985, 591, 692
• LCM of 243, 978, 939, 302
• LCM of 953, 670, 931, 693

1. What is the LCM of 474, 512, 298, 880?

Answer: LCM of 474, 512, 298, 880 is 994414080.

2. How to calculate the LCM of 474, 512, 298, 880?

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 474, 512, 298, 880.

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}.