Given numbers are 824,450,872,349

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

The LCM of 824,450,872,349 is 7052801400.

Find LCM of 824,450,872,349 with Prime Factorization

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

2 x 2 x 2 x 103 x 225 x 109 x 349 = 7052801400

Therefore, the lowest common multiple of 824,450,872,349 is 7052801400.

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.

824 x 450 x 872 x 349 = 112844822400

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,450,872,349, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

450:2x 3x 3x 5x 5

872:2x 2x 2x 109

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 2 = 16

Therefore, the value for common factors is 16.

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 = 112844822400/(1x16)

LCM = 112844822400/16

LCM = 7052801400

Thus, we can understand that the LCM of 824,450,872,349 is 7052801400.

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

• LCM of 487, 503, 684, 537
• LCM of 919, 268, 832, 982
• LCM of 228, 399, 105, 150
• LCM of 298, 703, 106, 735
• LCM of 592, 401, 425, 256

1. What is the LCM of 824, 450, 872, 349?

Answer: LCM of 824, 450, 872, 349 is 7052801400.

2. How to calculate the LCM of 824, 450, 872, 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 824, 450, 872, 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}.