Given numbers are 824,749,214,465

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

The LCM of 824,749,214,465 is 286986840.

Find LCM of 824,749,214,465 with Prime Factorization

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

2 x 107 x 412 x 7 x 1 x 465 = 286986840

Therefore, the lowest common multiple of 824,749,214,465 is 286986840.

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 749 x 214 x 465 = 61415183760

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

749 : 1, 7, 107, 749

214 : 1, 2, 107, 214

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,749,214,465, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

749:7x 107

214:2x 107

465:3x 5x 31

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 = 61415183760/(1x214)

LCM = 61415183760/214

LCM = 286986840

Thus, we can understand that the LCM of 824,749,214,465 is 286986840.

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

• LCM of 608, 520, 715, 240
• LCM of 630, 674, 687, 119
• LCM of 408, 280, 736, 304
• LCM of 555, 130, 221, 251
• LCM of 601, 519, 965, 930

1. What is the LCM of 824, 749, 214, 465?

Answer: LCM of 824, 749, 214, 465 is 286986840.

2. How to calculate the LCM of 824, 749, 214, 465?

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, 749, 214, 465.

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}.