Given numbers are 948,717,898,744,420

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

The LCM of 948,717,898,744,420 is 220755896760.

Find LCM of 948,717,898,744,420 with Prime Factorization

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

2 x 2 x 3 x 79 x 239 x 449 x 62 x 35 = 220755896760

Therefore, the lowest common multiple of 948,717,898,744,420 is 220755896760.

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.

948 x 717 x 898 x 744 x 420 = 190733094800640

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

717 : 1, 3, 239, 717

898 : 1, 2, 449, 898

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 948,717,898,744,420, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

717:3x 239

898:2x 449

744:2x 2x 2x 3x 31

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 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 190733094800640/(1x864)

LCM = 190733094800640/864

LCM = 220755896760

Thus, we can understand that the LCM of 948,717,898,744,420 is 220755896760.

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

• LCM of 703, 647, 633, 964, 734
• LCM of 583, 789, 349, 246, 439
• LCM of 443, 478, 199, 273, 519
• LCM of 710, 403, 661, 806, 415
• LCM of 573, 816, 568, 606, 927

1. What is the LCM of 948, 717, 898, 744, 420?

Answer: LCM of 948, 717, 898, 744, 420 is 220755896760.

2. How to calculate the LCM of 948, 717, 898, 744, 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 948, 717, 898, 744, 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}.