Given numbers are 680,709,720,235

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

The LCM of 680,709,720,235 is 407873520.

Find LCM of 680,709,720,235 with Prime Factorization

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

2 x 2 x 2 x 5 x 17 x 709 x 18 x 47 = 407873520

Therefore, the lowest common multiple of 680,709,720,235 is 407873520.

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.

680 x 709 x 720 x 235 = 81574704000

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

709 : 1, 709

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,709,720,235, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

709:709

720:2x 2x 2x 2x 3x 3x 5

235:5x 47

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 81574704000/(1x200)

LCM = 81574704000/200

LCM = 407873520

Thus, we can understand that the LCM of 680,709,720,235 is 407873520.

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

• LCM of 897, 947, 289, 184
• LCM of 436, 665, 973, 507
• LCM of 882, 311, 432, 536
• LCM of 867, 932, 895, 552
• LCM of 884, 518, 484, 800

1. What is the LCM of 680, 709, 720, 235?

Answer: LCM of 680, 709, 720, 235 is 407873520.

2. How to calculate the LCM of 680, 709, 720, 235?

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 680, 709, 720, 235.

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}.