Given numbers are 322,306,781,142

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

The LCM of 322,306,781,142 is 38476746.

Find LCM of 322,306,781,142 with Prime Factorization

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

2 x 71 x 161 x 153 x 11 x 1 = 38476746

Therefore, the lowest common multiple of 322,306,781,142 is 38476746.

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.

322 x 306 x 781 x 142 = 10927395864

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

781 : 1, 11, 71, 781

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,306,781,142, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

306:2x 3x 3x 17

781:11x 71

142:2x 71

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 71 = 284

Therefore, the value for common factors is 284.

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 = 10927395864/(1x284)

LCM = 10927395864/284

LCM = 38476746

Thus, we can understand that the LCM of 322,306,781,142 is 38476746.

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

• LCM of 884, 981, 818, 314
• LCM of 352, 933, 469, 585
• LCM of 500, 833, 352, 828
• LCM of 521, 250, 591, 480
• LCM of 859, 194, 945, 397

1. What is the LCM of 322, 306, 781, 142?

Answer: LCM of 322, 306, 781, 142 is 38476746.

2. How to calculate the LCM of 322, 306, 781, 142?

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 322, 306, 781, 142.

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}.