Given numbers are 450,912,120,564,349

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

The LCM of 450,912,120,564,349 is 1121965200.

Find LCM of 450,912,120,564,349 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 15 x 38 x 1 x 47 x 349 = 1121965200

Therefore, the lowest common multiple of 450,912,120,564,349 is 1121965200.

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.

450 x 912 x 120 x 564 x 349 = 9693779328000

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,912,120,564,349, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

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

120:2x 2x 2x 3x 5

564:2x 2x 3x 47

349:349

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 3x 3x 3x 5 = 8640

Therefore, the value for common factors is 8640.

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 = 9693779328000/(1x8640)

LCM = 9693779328000/8640

LCM = 1121965200

Thus, we can understand that the LCM of 450,912,120,564,349 is 1121965200.

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

• LCM of 689, 374, 865, 827, 389
• LCM of 593, 179, 949, 355, 789
• LCM of 656, 775, 771, 149, 856
• LCM of 127, 535, 671, 150, 650
• LCM of 177, 740, 252, 567, 769

1. What is the LCM of 450, 912, 120, 564, 349?

Answer: LCM of 450, 912, 120, 564, 349 is 1121965200.

2. How to calculate the LCM of 450, 912, 120, 564, 349?

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 450, 912, 120, 564, 349.

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}.