Given numbers are 714,903,178,630,420

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

The LCM of 714,903,178,630,420 is 81974340.

Find LCM of 714,903,178,630,420 with Prime Factorization

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

2 x 3 x 5 x 7 x 17 x 43 x 89 x 3 x 2 = 81974340

Therefore, the lowest common multiple of 714,903,178,630,420 is 81974340.

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.

714 x 903 x 178 x 630 x 420 = 30366574509600

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

903 : 1, 3, 7, 21, 43, 129, 301, 903

178 : 1, 2, 89, 178

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,903,178,630,420, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

903:3x 7x 43

178:2x 89

630:2x 3x 3x 5x 7

420:2x 2x 3x 5x 7

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 3x 3x 5x 7x 7x 7 = 370440

Therefore, the value for common factors is 370440.

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 = 30366574509600/(1x370440)

LCM = 30366574509600/370440

LCM = 81974340

Thus, we can understand that the LCM of 714,903,178,630,420 is 81974340.

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

• LCM of 219, 699, 250, 377, 912
• LCM of 753, 968, 272, 149, 974
• LCM of 627, 836, 389, 864, 560
• LCM of 478, 690, 853, 645, 328
• LCM of 187, 605, 630, 191, 150

1. What is the LCM of 714, 903, 178, 630, 420?

Answer: LCM of 714, 903, 178, 630, 420 is 81974340.

2. How to calculate the LCM of 714, 903, 178, 630, 420?

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 714, 903, 178, 630, 420.

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}.