Given numbers are 638,420,289,948

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

The LCM of 638,420,289,948 is 3058897380.

Find LCM of 638,420,289,948 with Prime Factorization

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

2 x 2 x 3 x 319 x 35 x 289 x 79 = 3058897380

Therefore, the lowest common multiple of 638,420,289,948 is 3058897380.

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.

638 x 420 x 289 x 948 = 73413537120

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

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

289 : 1, 17, 289

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,420,289,948, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

420:2x 2x 3x 5x 7

289:17x 17

948:2x 2x 3x 79

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 3 = 24

Therefore, the value for common factors is 24.

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 = 73413537120/(1x24)

LCM = 73413537120/24

LCM = 3058897380

Thus, we can understand that the LCM of 638,420,289,948 is 3058897380.

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

• LCM of 747, 513, 804, 167
• LCM of 170, 742, 105, 809
• LCM of 415, 751, 359, 522
• LCM of 598, 993, 801, 597
• LCM of 900, 751, 797, 753

1. What is the LCM of 638, 420, 289, 948?

Answer: LCM of 638, 420, 289, 948 is 3058897380.

2. How to calculate the LCM of 638, 420, 289, 948?

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 638, 420, 289, 948.

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}.