Given numbers are 429,630,112,570,203

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

The LCM of 429,630,112,570,203 is 397116720.

Find LCM of 429,630,112,570,203 with Prime Factorization

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

2 x 3 x 5 x 7 x 143 x 3 x 8 x 19 x 29 = 397116720

Therefore, the lowest common multiple of 429,630,112,570,203 is 397116720.

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 630 x 112 x 570 x 203 = 3502569470400

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

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,630,112,570,203, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

630:2x 3x 3x 5x 7

112:2x 2x 2x 2x 7

570:2x 3x 5x 19

203:7x 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 3x 3x 5x 7x 7 = 8820

Therefore, the value for common factors is 8820.

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 = 3502569470400/(1x8820)

LCM = 3502569470400/8820

LCM = 397116720

Thus, we can understand that the LCM of 429,630,112,570,203 is 397116720.

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

• LCM of 395, 494, 116, 343, 165
• LCM of 990, 321, 311, 668, 872
• LCM of 438, 238, 496, 297, 385
• LCM of 651, 900, 396, 706, 423
• LCM of 176, 941, 264, 279, 287

1. What is the LCM of 429, 630, 112, 570, 203?

Answer: LCM of 429, 630, 112, 570, 203 is 397116720.

2. How to calculate the LCM of 429, 630, 112, 570, 203?

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, 630, 112, 570, 203.

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}.