Given numbers are 142,930,163,268,219

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

The LCM of 142,930,163,268,219 is 105282589980.

Find LCM of 142,930,163,268,219 with Prime Factorization

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

2 x 3 x 71 x 155 x 163 x 134 x 73 = 105282589980

Therefore, the lowest common multiple of 142,930,163,268,219 is 105282589980.

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.

142 x 930 x 163 x 268 x 219 = 1263391079760

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.

142 : 1, 2, 71, 142

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

163 : 1, 163

268 : 1, 2, 4, 67, 134, 268

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,930,163,268,219, is 1.

Now, the common factors can be found like this.

142:2x 71

930:2x 3x 5x 31

163:163

268:2x 2x 67

219:3x 73

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1263391079760/(1x12)

LCM = 1263391079760/12

LCM = 105282589980

Thus, we can understand that the LCM of 142,930,163,268,219 is 105282589980.

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

• LCM of 966, 231, 663, 441, 920
• LCM of 348, 141, 689, 452, 650
• LCM of 306, 540, 194, 612, 794
• LCM of 301, 456, 623, 533, 205
• LCM of 813, 112, 672, 345, 661

1. What is the LCM of 142, 930, 163, 268, 219?

Answer: LCM of 142, 930, 163, 268, 219 is 105282589980.

2. How to calculate the LCM of 142, 930, 163, 268, 219?

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 142, 930, 163, 268, 219.

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}.