Given numbers are 690,742,269,580

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

The LCM of 690,742,269,580 is 3993955980.

Find LCM of 690,742,269,580 with Prime Factorization

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

2 x 5 x 69 x 371 x 269 x 58 = 3993955980

Therefore, the lowest common multiple of 690,742,269,580 is 3993955980.

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 742 x 269 x 580 = 79879119600

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

269 : 1, 269

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,742,269,580, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

742:2x 7x 53

269:269

580:2x 2x 5x 29

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 5 = 20

Therefore, the value for common factors is 20.

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 = 79879119600/(1x20)

LCM = 79879119600/20

LCM = 3993955980

Thus, we can understand that the LCM of 690,742,269,580 is 3993955980.

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

• LCM of 828, 861, 649, 700
• LCM of 414, 140, 527, 948
• LCM of 701, 757, 733, 464
• LCM of 374, 100, 792, 857
• LCM of 523, 193, 100, 222

1. What is the LCM of 690, 742, 269, 580?

Answer: LCM of 690, 742, 269, 580 is 3993955980.

2. How to calculate the LCM of 690, 742, 269, 580?

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, 742, 269, 580.

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}.