Given numbers are 676,544,850,420

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

The LCM of 676,544,850,420 is 48266400.

Find LCM of 676,544,850,420 with Prime Factorization

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

2 x 2 x 5 x 17 x 169 x 8 x 5 x 21 = 48266400

Therefore, the lowest common multiple of 676,544,850,420 is 48266400.

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.

676 x 544 x 850 x 420 = 131284608000

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,544,850,420, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

544:2x 2x 2x 2x 2x 17

850:2x 5x 5x 17

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 5x 17 = 1360

Therefore, the value for common factors is 1360.

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 = 131284608000/(2x1360)

LCM = 131284608000/2720

LCM = 48266400

Thus, we can understand that the LCM of 676,544,850,420 is 48266400.

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

• LCM of 952, 383, 231, 174
• LCM of 338, 326, 211, 705
• LCM of 459, 690, 745, 215
• LCM of 296, 117, 504, 913
• LCM of 754, 183, 675, 900

1. What is the LCM of 676, 544, 850, 420?

Answer: LCM of 676, 544, 850, 420 is 48266400.

2. How to calculate the LCM of 676, 544, 850, 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 676, 544, 850, 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}.