Given numbers are 446,379,700,300,540

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

The LCM of 446,379,700,300,540 is 1597371300.

Find LCM of 446,379,700,300,540 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 223 x 379 x 7 x 1 x 9 = 1597371300

Therefore, the lowest common multiple of 446,379,700,300,540 is 1597371300.

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.

446 x 379 x 700 x 300 x 540 = 19168455600000

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.

446 : 1, 2, 223, 446

379 : 1, 379

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,379,700,300,540, is 1.

Now, the common factors can be found like this.

446:2x 223

379:379

700:2x 2x 5x 5x 7

300:2x 2x 3x 5x 5

540:2x 2x 3x 3x 3x 5

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 3x 5x 5x 5 = 12000

Therefore, the value for common factors is 12000.

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 = 19168455600000/(1x12000)

LCM = 19168455600000/12000

LCM = 1597371300

Thus, we can understand that the LCM of 446,379,700,300,540 is 1597371300.

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

• LCM of 660, 272, 111, 867, 648
• LCM of 294, 440, 469, 795, 308
• LCM of 644, 828, 280, 766, 367
• LCM of 310, 398, 371, 242, 264
• LCM of 979, 549, 969, 779, 120

1. What is the LCM of 446, 379, 700, 300, 540?

Answer: LCM of 446, 379, 700, 300, 540 is 1597371300.

2. How to calculate the LCM of 446, 379, 700, 300, 540?

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 446, 379, 700, 300, 540.

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}.