Given numbers are 567,214,464,707

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

The LCM of 567,214,464,707 is 2843192016.

Find LCM of 567,214,464,707 with Prime Factorization

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

2 x 7 x 81 x 107 x 232 x 101 = 2843192016

Therefore, the lowest common multiple of 567,214,464,707 is 2843192016.

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.

567 x 214 x 464 x 707 = 39804688224

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.

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

214 : 1, 2, 107, 214

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

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,214,464,707, is 1.

Now, the common factors can be found like this.

567:3x 3x 3x 3x 7

214:2x 107

464:2x 2x 2x 2x 29

707:7x 101

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 39804688224/(1x14)

LCM = 39804688224/14

LCM = 2843192016

Thus, we can understand that the LCM of 567,214,464,707 is 2843192016.

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

• LCM of 260, 220, 490, 656
• LCM of 139, 550, 437, 334
• LCM of 517, 278, 570, 165
• LCM of 674, 259, 961, 194
• LCM of 257, 377, 926, 258

1. What is the LCM of 567, 214, 464, 707?

Answer: LCM of 567, 214, 464, 707 is 2843192016.

2. How to calculate the LCM of 567, 214, 464, 707?

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 567, 214, 464, 707.

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}.