Given numbers are 967,478,380,788,624

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

The LCM of 967,478,380,788,624 is 2698974592080.

Find LCM of 967,478,380,788,624 with Prime Factorization

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

2 x 2 x 967 x 239 x 95 x 197 x 156 = 2698974592080

Therefore, the lowest common multiple of 967,478,380,788,624 is 2698974592080.

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.

967 x 478 x 380 x 788 x 624 = 86367186946560

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.

967 : 1, 967

478 : 1, 2, 239, 478

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

788 : 1, 2, 4, 197, 394, 788

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 967,478,380,788,624, is 1.

Now, the common factors can be found like this.

967:967

478:2x 239

380:2x 2x 5x 19

788:2x 2x 197

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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 86367186946560/(1x32)

LCM = 86367186946560/32

LCM = 2698974592080

Thus, we can understand that the LCM of 967,478,380,788,624 is 2698974592080.

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

• LCM of 261, 705, 887, 563, 606
• LCM of 906, 953, 553, 817, 423
• LCM of 725, 267, 728, 986, 926
• LCM of 377, 533, 569, 235, 910
• LCM of 942, 908, 478, 381, 945

1. What is the LCM of 967, 478, 380, 788, 624?

Answer: LCM of 967, 478, 380, 788, 624 is 2698974592080.

2. How to calculate the LCM of 967, 478, 380, 788, 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 967, 478, 380, 788, 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}.