Given numbers are 546,337,464,519

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

The LCM of 546,337,464,519 is 7385104272.

Find LCM of 546,337,464,519 with Prime Factorization

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

2 x 3 x 91 x 337 x 232 x 173 = 7385104272

Therefore, the lowest common multiple of 546,337,464,519 is 7385104272.

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 337 x 464 x 519 = 44310625632

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

337 : 1, 337

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,337,464,519, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

337:337

464:2x 2x 2x 2x 29

519:3x 173

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 44310625632/(1x6)

LCM = 44310625632/6

LCM = 7385104272

Thus, we can understand that the LCM of 546,337,464,519 is 7385104272.

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

• LCM of 823, 408, 264, 668
• LCM of 314, 123, 625, 636
• LCM of 775, 428, 500, 962
• LCM of 168, 744, 729, 912
• LCM of 843, 208, 117, 100

1. What is the LCM of 546, 337, 464, 519?

Answer: LCM of 546, 337, 464, 519 is 7385104272.

2. How to calculate the LCM of 546, 337, 464, 519?

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, 337, 464, 519.

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}.