Given numbers are 471,780,142,408

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

The LCM of 471,780,142,408 is 295618440.

Find LCM of 471,780,142,408 with Prime Factorization

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

2 x 2 x 3 x 157 x 65 x 71 x 34 = 295618440

Therefore, the lowest common multiple of 471,780,142,408 is 295618440.

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.

471 x 780 x 142 x 408 = 21284527680

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.

471 : 1, 3, 157, 471

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

142 : 1, 2, 71, 142

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,780,142,408, is 1.

Now, the common factors can be found like this.

471:3x 157

780:2x 2x 3x 5x 13

142:2x 71

408:2x 2x 2x 3x 17

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 21284527680/(1x72)

LCM = 21284527680/72

LCM = 295618440

Thus, we can understand that the LCM of 471,780,142,408 is 295618440.

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

• LCM of 309, 382, 499, 328
• LCM of 729, 904, 489, 652
• LCM of 345, 261, 705, 293
• LCM of 885, 635, 554, 340
• LCM of 426, 191, 356, 648

1. What is the LCM of 471, 780, 142, 408?

Answer: LCM of 471, 780, 142, 408 is 295618440.

2. How to calculate the LCM of 471, 780, 142, 408?

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 471, 780, 142, 408.

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}.