Given numbers are 576,420,175,670

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

The LCM of 576,420,175,670 is 6753600.

Find LCM of 576,420,175,670 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 48 x 1 x 5 x 67 = 6753600

Therefore, the lowest common multiple of 576,420,175,670 is 6753600.

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.

576 x 420 x 175 x 670 = 28365120000

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

175 : 1, 5, 7, 25, 35, 175

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,420,175,670, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

420:2x 2x 3x 5x 7

175:5x 5x 7

670:2x 5x 67

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 3x 5x 5x 7 = 4200

Therefore, the value for common factors is 4200.

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 = 28365120000/(1x4200)

LCM = 28365120000/4200

LCM = 6753600

Thus, we can understand that the LCM of 576,420,175,670 is 6753600.

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

• LCM of 111, 439, 545, 646
• LCM of 727, 678, 311, 789
• LCM of 150, 728, 334, 997
• LCM of 740, 248, 871, 800
• LCM of 412, 565, 946, 753

1. What is the LCM of 576, 420, 175, 670?

Answer: LCM of 576, 420, 175, 670 is 6753600.

2. How to calculate the LCM of 576, 420, 175, 670?

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 576, 420, 175, 670.

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}.