Given numbers are 920,316,488,414,237

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

The LCM of 920,316,488,414,237 is 39901320.

Find LCM of 920,316,488,414,237 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 79 x 5 x 1 x 61 x 3 x 1 = 39901320

Therefore, the lowest common multiple of 920,316,488,414,237 is 39901320.

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.

920 x 316 x 488 x 414 x 237 = 13920134100480

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

316 : 1, 2, 4, 79, 158, 316

488 : 1, 2, 4, 8, 61, 122, 244, 488

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

237 : 1, 3, 79, 237

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,316,488,414,237, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

316:2x 2x 79

488:2x 2x 2x 61

414:2x 3x 3x 23

237:3x 79

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 2x 2x 2x 3x 23x 79 = 348864

Therefore, the value for common factors is 348864.

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 = 13920134100480/(1x348864)

LCM = 13920134100480/348864

LCM = 39901320

Thus, we can understand that the LCM of 920,316,488,414,237 is 39901320.

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

• LCM of 143, 710, 944, 271, 605
• LCM of 778, 383, 468, 334, 988
• LCM of 384, 269, 988, 574, 805
• LCM of 494, 534, 914, 427, 217
• LCM of 548, 861, 412, 183, 660

1. What is the LCM of 920, 316, 488, 414, 237?

Answer: LCM of 920, 316, 488, 414, 237 is 39901320.

2. How to calculate the LCM of 920, 316, 488, 414, 237?

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 920, 316, 488, 414, 237.

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}.