Given numbers are 690,750,952,816,668

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

The LCM of 690,750,952,816,668 is 2742474000.

Find LCM of 690,750,952,816,668 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 17 x 23 x 25 x 7 x 2 x 167 = 2742474000

Therefore, the lowest common multiple of 690,750,952,816,668 is 2742474000.

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.

690 x 750 x 952 x 816 x 668 = 268543054080000

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

668 : 1, 2, 4, 167, 334, 668

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,750,952,816,668, is 2.

Now, the common factors can be found like this.

690:2x 3x 5x 23

750:2x 3x 5x 5x 5

952:2x 2x 2x 7x 17

816:2x 2x 2x 2x 3x 17

668:2x 2x 167

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 2x 2x 2x 2x 3x 3x 5x 17 = 48960

Therefore, the value for common factors is 48960.

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 = 268543054080000/(2x48960)

LCM = 268543054080000/97920

LCM = 2742474000

Thus, we can understand that the LCM of 690,750,952,816,668 is 2742474000.

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

• LCM of 633, 619, 724, 310, 554
• LCM of 561, 309, 565, 795, 262
• LCM of 976, 943, 340, 935, 243
• LCM of 122, 506, 380, 720, 729
• LCM of 259, 624, 150, 175, 256

1. What is the LCM of 690, 750, 952, 816, 668?

Answer: LCM of 690, 750, 952, 816, 668 is 2742474000.

2. How to calculate the LCM of 690, 750, 952, 816, 668?

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 690, 750, 952, 816, 668.

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}.