Given numbers are 596,902,690,468,378

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

The LCM of 596,902,690,468,378 is 75949653780.

Find LCM of 596,902,690,468,378 with Prime Factorization

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

2 x 2 x 3 x 3 x 149 x 451 x 115 x 13 x 21 = 75949653780

Therefore, the lowest common multiple of 596,902,690,468,378 is 75949653780.

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.

596 x 902 x 690 x 468 x 378 = 65620500865920

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.

596 : 1, 2, 4, 149, 298, 596

902 : 1, 2, 11, 22, 41, 82, 451, 902

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,902,690,468,378, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

902:2x 11x 41

690:2x 3x 5x 23

468:2x 2x 3x 3x 13

378:2x 3x 3x 3x 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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 65620500865920/(2x432)

LCM = 65620500865920/864

LCM = 75949653780

Thus, we can understand that the LCM of 596,902,690,468,378 is 75949653780.

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

• LCM of 530, 183, 459, 275, 337
• LCM of 494, 772, 878, 666, 880
• LCM of 348, 775, 659, 722, 664
• LCM of 705, 273, 826, 416, 550
• LCM of 141, 693, 233, 268, 580

1. What is the LCM of 596, 902, 690, 468, 378?

Answer: LCM of 596, 902, 690, 468, 378 is 75949653780.

2. How to calculate the LCM of 596, 902, 690, 468, 378?

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 596, 902, 690, 468, 378.

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}.