Given numbers are 904,749,817,214

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

The LCM of 904,749,817,214 is 553187432.

Find LCM of 904,749,817,214 with Prime Factorization

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

2 x 107 x 452 x 7 x 817 x 1 = 553187432

Therefore, the lowest common multiple of 904,749,817,214 is 553187432.

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.

904 x 749 x 817 x 214 = 118382110448

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

749 : 1, 7, 107, 749

817 : 1, 19, 43, 817

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,749,817,214, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

749:7x 107

817:19x 43

214:2x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 118382110448/(1x214)

LCM = 118382110448/214

LCM = 553187432

Thus, we can understand that the LCM of 904,749,817,214 is 553187432.

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

• LCM of 610, 517, 725, 398
• LCM of 389, 248, 362, 330
• LCM of 773, 902, 904, 685
• LCM of 442, 424, 200, 248
• LCM of 606, 848, 594, 901

1. What is the LCM of 904, 749, 817, 214?

Answer: LCM of 904, 749, 817, 214 is 553187432.

2. How to calculate the LCM of 904, 749, 817, 214?

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 904, 749, 817, 214.

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}.