Given numbers are 546,407,604,644

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

The LCM of 546,407,604,644 is 1543554012.

Find LCM of 546,407,604,644 with Prime Factorization

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

2 x 2 x 7 x 39 x 407 x 151 x 23 = 1543554012

Therefore, the lowest common multiple of 546,407,604,644 is 1543554012.

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.

546 x 407 x 604 x 644 = 86439024672

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

407 : 1, 11, 37, 407

604 : 1, 2, 4, 151, 302, 604

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,407,604,644, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

407:11x 37

604:2x 2x 151

644:2x 2x 7x 23

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 7 = 56

Therefore, the value for common factors is 56.

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 = 86439024672/(1x56)

LCM = 86439024672/56

LCM = 1543554012

Thus, we can understand that the LCM of 546,407,604,644 is 1543554012.

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

• LCM of 981, 611, 447, 168
• LCM of 826, 907, 529, 238
• LCM of 233, 450, 539, 844
• LCM of 261, 958, 902, 314
• LCM of 635, 501, 606, 402

1. What is the LCM of 546, 407, 604, 644?

Answer: LCM of 546, 407, 604, 644 is 1543554012.

2. How to calculate the LCM of 546, 407, 604, 644?

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 546, 407, 604, 644.

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}.