Given numbers are 219,495,319,236,143

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

The LCM of 219,495,319,236,143 is 3215003220.

Find LCM of 219,495,319,236,143 with Prime Factorization

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

3 x 11 x 73 x 15 x 29 x 236 x 13 = 3215003220

Therefore, the lowest common multiple of 219,495,319,236,143 is 3215003220.

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.

219 x 495 x 319 x 236 x 143 = 1167046168860

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.

219 : 1, 3, 73, 219

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

319 : 1, 11, 29, 319

236 : 1, 2, 4, 59, 118, 236

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,495,319,236,143, is 1.

Now, the common factors can be found like this.

219:3x 73

495:3x 3x 5x 11

319:11x 29

236:2x 2x 59

143:11x 13

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

3x 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 1167046168860/(1x363)

LCM = 1167046168860/363

LCM = 3215003220

Thus, we can understand that the LCM of 219,495,319,236,143 is 3215003220.

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

• LCM of 986, 158, 320, 920, 606
• LCM of 210, 698, 654, 597, 910
• LCM of 696, 524, 342, 854, 749
• LCM of 591, 500, 681, 239, 859
• LCM of 544, 944, 109, 569, 902

1. What is the LCM of 219, 495, 319, 236, 143?

Answer: LCM of 219, 495, 319, 236, 143 is 3215003220.

2. How to calculate the LCM of 219, 495, 319, 236, 143?

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 219, 495, 319, 236, 143.

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}.