Given numbers are 690,660,762,630

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

The LCM of 690,660,762,630 is 40485060.

Find LCM of 690,660,762,630 with Prime Factorization

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

2 x 3 x 5 x 23 x 22 x 127 x 21 = 40485060

Therefore, the lowest common multiple of 690,660,762,630 is 40485060.

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 660 x 762 x 630 = 218619324000

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

762 : 1, 2, 3, 6, 127, 254, 381, 762

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,660,762,630, is 6.

Now, the common factors can be found like this.

690:2x 3x 5x 23

660:2x 2x 3x 5x 11

762:2x 3x 127

630:2x 3x 3x 5x 7

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 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 218619324000/(6x900)

LCM = 218619324000/5400

LCM = 40485060

Thus, we can understand that the LCM of 690,660,762,630 is 40485060.

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

• LCM of 874, 906, 281, 412
• LCM of 983, 471, 806, 833
• LCM of 458, 551, 611, 369
• LCM of 173, 937, 741, 388
• LCM of 704, 744, 213, 154

1. What is the LCM of 690, 660, 762, 630?

Answer: LCM of 690, 660, 762, 630 is 40485060.

2. How to calculate the LCM of 690, 660, 762, 630?

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, 660, 762, 630.

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}.