Given numbers are 400,912,554,976

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

The LCM of 400,912,554,976 is 385251600.

Find LCM of 400,912,554,976 with Prime Factorization

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

2 x 2 x 2 x 2 x 25 x 57 x 277 x 61 = 385251600

Therefore, the lowest common multiple of 400,912,554,976 is 385251600.

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.

400 x 912 x 554 x 976 = 197248819200

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

554 : 1, 2, 277, 554

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,912,554,976, is 2.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

912:2x 2x 2x 2x 3x 19

554:2x 277

976:2x 2x 2x 2x 61

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 2 = 256

Therefore, the value for common factors is 256.

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 = 197248819200/(2x256)

LCM = 197248819200/512

LCM = 385251600

Thus, we can understand that the LCM of 400,912,554,976 is 385251600.

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

• LCM of 502, 960, 875, 605
• LCM of 971, 932, 847, 293
• LCM of 303, 562, 639, 111
• LCM of 435, 334, 847, 348
• LCM of 469, 719, 357, 891

1. What is the LCM of 400, 912, 554, 976?

Answer: LCM of 400, 912, 554, 976 is 385251600.

2. How to calculate the LCM of 400, 912, 554, 976?

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 400, 912, 554, 976.

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}.