Given numbers are 790,378,383,829,624

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

The LCM of 790,378,383,829,624 is 4930324897680.

Find LCM of 790,378,383,829,624 with Prime Factorization

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

2 x 3 x 395 x 63 x 383 x 829 x 104 = 4930324897680

Therefore, the lowest common multiple of 790,378,383,829,624 is 4930324897680.

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.

790 x 378 x 383 x 829 x 624 = 59163898772160

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

383 : 1, 383

829 : 1, 829

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,378,383,829,624, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

378:2x 3x 3x 3x 7

383:383

829:829

624:2x 2x 2x 2x 3x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 59163898772160/(1x12)

LCM = 59163898772160/12

LCM = 4930324897680

Thus, we can understand that the LCM of 790,378,383,829,624 is 4930324897680.

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

• LCM of 793, 822, 932, 633, 768
• LCM of 780, 501, 117, 305, 334
• LCM of 744, 900, 300, 313, 773
• LCM of 176, 719, 767, 562, 841
• LCM of 872, 233, 853, 574, 112

1. What is the LCM of 790, 378, 383, 829, 624?

Answer: LCM of 790, 378, 383, 829, 624 is 4930324897680.

2. How to calculate the LCM of 790, 378, 383, 829, 624?

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 790, 378, 383, 829, 624.

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}.