Given numbers are 565,120,690,630

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

The LCM of 565,120,690,630 is 6549480.

Find LCM of 565,120,690,630 with Prime Factorization

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

2 x 3 x 5 x 113 x 4 x 23 x 21 = 6549480

Therefore, the lowest common multiple of 565,120,690,630 is 6549480.

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.

565 x 120 x 690 x 630 = 29472660000

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.

565 : 1, 5, 113, 565

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

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

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,120,690,630, is 5.

Now, the common factors can be found like this.

565:5x 113

120:2x 2x 2x 3x 5

690:2x 3x 5x 23

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 = 29472660000/(5x900)

LCM = 29472660000/4500

LCM = 6549480

Thus, we can understand that the LCM of 565,120,690,630 is 6549480.

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

• LCM of 279, 538, 938, 233
• LCM of 221, 595, 569, 370
• LCM of 205, 491, 381, 360
• LCM of 938, 857, 436, 324
• LCM of 984, 653, 434, 184

1. What is the LCM of 565, 120, 690, 630?

Answer: LCM of 565, 120, 690, 630 is 6549480.

2. How to calculate the LCM of 565, 120, 690, 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 565, 120, 690, 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}.