Given numbers are 420,462,319,189,186

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

The LCM of 420,462,319,189,186 is 37380420.

Find LCM of 420,462,319,189,186 with Prime Factorization

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

2 x 3 x 7 x 11 x 10 x 1 x 29 x 9 x 31 = 37380420

Therefore, the lowest common multiple of 420,462,319,189,186 is 37380420.

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.

420 x 462 x 319 x 189 x 186 = 2175989009040

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.

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

319 : 1, 11, 29, 319

189 : 1, 3, 7, 9, 21, 27, 63, 189

186 : 1, 2, 3, 6, 31, 62, 93, 186

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,462,319,189,186, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

462:2x 3x 7x 11

319:11x 29

189:3x 3x 3x 7

186:2x 3x 31

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 3x 7x 7x 11 = 58212

Therefore, the value for common factors is 58212.

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 = 2175989009040/(1x58212)

LCM = 2175989009040/58212

LCM = 37380420

Thus, we can understand that the LCM of 420,462,319,189,186 is 37380420.

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

• LCM of 740, 328, 831, 407, 938
• LCM of 997, 113, 431, 664, 836
• LCM of 502, 602, 154, 228, 935
• LCM of 309, 302, 248, 359, 580
• LCM of 865, 313, 813, 760, 532

1. What is the LCM of 420, 462, 319, 189, 186?

Answer: LCM of 420, 462, 319, 189, 186 is 37380420.

2. How to calculate the LCM of 420, 462, 319, 189, 186?

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 420, 462, 319, 189, 186.

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}.