Given numbers are 670,128,720,420

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

The LCM of 670,128,720,420 is 2701440.

Find LCM of 670,128,720,420 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 67 x 8 x 3 x 7 = 2701440

Therefore, the lowest common multiple of 670,128,720,420 is 2701440.

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.

670 x 128 x 720 x 420 = 25933824000

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.

670 : 1, 2, 5, 10, 67, 134, 335, 670

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,128,720,420, is 2.

Now, the common factors can be found like this.

670:2x 5x 67

128:2x 2x 2x 2x 2x 2x 2

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

420:2x 2x 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 2x 2x 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 25933824000/(2x4800)

LCM = 25933824000/9600

LCM = 2701440

Thus, we can understand that the LCM of 670,128,720,420 is 2701440.

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

• LCM of 224, 214, 194, 262
• LCM of 883, 810, 709, 978
• LCM of 835, 405, 464, 300
• LCM of 432, 860, 274, 258
• LCM of 811, 549, 243, 484

1. What is the LCM of 670, 128, 720, 420?

Answer: LCM of 670, 128, 720, 420 is 2701440.

2. How to calculate the LCM of 670, 128, 720, 420?

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 670, 128, 720, 420.

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}.