Given numbers are 264,606,575,714

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

The LCM of 264,606,575,714 is 1824484200.

Find LCM of 264,606,575,714 with Prime Factorization

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

2 x 3 x 44 x 101 x 575 x 119 = 1824484200

Therefore, the lowest common multiple of 264,606,575,714 is 1824484200.

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.

264 x 606 x 575 x 714 = 65681431200

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

606 : 1, 2, 3, 6, 101, 202, 303, 606

575 : 1, 5, 23, 25, 115, 575

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,606,575,714, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

606:2x 3x 101

575:5x 5x 23

714:2x 3x 7x 17

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 65681431200/(1x36)

LCM = 65681431200/36

LCM = 1824484200

Thus, we can understand that the LCM of 264,606,575,714 is 1824484200.

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

• LCM of 344, 218, 966, 685
• LCM of 901, 187, 924, 815
• LCM of 263, 447, 768, 971
• LCM of 459, 468, 187, 476
• LCM of 510, 232, 424, 500

1. What is the LCM of 264, 606, 575, 714?

Answer: LCM of 264, 606, 575, 714 is 1824484200.

2. How to calculate the LCM of 264, 606, 575, 714?

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 264, 606, 575, 714.

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}.