Given numbers are 429,385,584

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

The LCM of 429,385,584 is 8768760.

Find LCM of 429,385,584 with Prime Factorization

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

11 x 39 x 35 x 584 = 8768760

Therefore, the lowest common multiple of 429,385,584 is 8768760.

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.

429 x 385 x 584 = 96456360

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

385 : 1, 5, 7, 11, 35, 55, 77, 385

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,385,584, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

385:5x 7x 11

584:2x 2x 2x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 96456360/(1x11)

LCM = 96456360/11

LCM = 8768760

Thus, we can understand that the LCM of 429,385,584 is 8768760.

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

• LCM of 375, 319, 160
• LCM of 120, 886, 176
• LCM of 472, 947, 988
• LCM of 326, 693, 168
• LCM of 108, 437, 174

1. What is the LCM of 429, 385, 584?

Answer: LCM of 429, 385, 584 is 8768760.

2. How to calculate the LCM of 429, 385, 584?

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 429, 385, 584.

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}.