Given numbers are 821,287,749,749

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

The LCM of 821,287,749,749 is 25212089.

Find LCM of 821,287,749,749 with Prime Factorization

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

7 x 107 x 821 x 41 x 1 x 1 = 25212089

Therefore, the lowest common multiple of 821,287,749,749 is 25212089.

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.

821 x 287 x 749 x 749 = 132186982627

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.

821 : 1, 821

287 : 1, 7, 41, 287

749 : 1, 7, 107, 749

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,287,749,749, is 1.

Now, the common factors can be found like this.

821:821

287:7x 41

749:7x 107

749:7x 107

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

7x 7x 107 = 5243

Therefore, the value for common factors is 5243.

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 = 132186982627/(1x5243)

LCM = 132186982627/5243

LCM = 25212089

Thus, we can understand that the LCM of 821,287,749,749 is 25212089.

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

• LCM of 586, 566, 805, 382
• LCM of 536, 649, 179, 446
• LCM of 411, 307, 776, 318
• LCM of 179, 362, 947, 508
• LCM of 613, 191, 402, 232

1. What is the LCM of 821, 287, 749, 749?

Answer: LCM of 821, 287, 749, 749 is 25212089.

2. How to calculate the LCM of 821, 287, 749, 749?

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 821, 287, 749, 749.

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}.