Given numbers are 238,920,478,416,680

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

The LCM of 238,920,478,416,680 is 1360617440.

Find LCM of 238,920,478,416,680 with Prime Factorization

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

2 x 2 x 2 x 5 x 17 x 7 x 23 x 239 x 52 x 1 = 1360617440

Therefore, the lowest common multiple of 238,920,478,416,680 is 1360617440.

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.

238 x 920 x 478 x 416 x 680 = 29607035494400

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

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

478 : 1, 2, 239, 478

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,920,478,416,680, is 2.

Now, the common factors can be found like this.

238:2x 7x 17

920:2x 2x 2x 5x 23

478:2x 239

416:2x 2x 2x 2x 2x 13

680:2x 2x 2x 5x 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 2x 2x 2x 2x 5x 17 = 10880

Therefore, the value for common factors is 10880.

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 = 29607035494400/(2x10880)

LCM = 29607035494400/21760

LCM = 1360617440

Thus, we can understand that the LCM of 238,920,478,416,680 is 1360617440.

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

• LCM of 854, 755, 470, 256, 296
• LCM of 241, 391, 754, 569, 360
• LCM of 412, 820, 644, 349, 880
• LCM of 867, 174, 165, 223, 932
• LCM of 830, 279, 881, 965, 478

1. What is the LCM of 238, 920, 478, 416, 680?

Answer: LCM of 238, 920, 478, 416, 680 is 1360617440.

2. How to calculate the LCM of 238, 920, 478, 416, 680?

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 238, 920, 478, 416, 680.

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}.