Given numbers are 600,704,840,420

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

The LCM of 600,704,840,420 is 369600.

Find LCM of 600,704,840,420 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 5 x 88 x 1 x 1 = 369600

Therefore, the lowest common multiple of 600,704,840,420 is 369600.

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.

600 x 704 x 840 x 420 = 149022720000

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,704,840,420, is 4.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

704:2x 2x 2x 2x 2x 2x 11

840:2x 2x 2x 3x 5x 7

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 2x 3x 3x 5x 5x 7 = 100800

Therefore, the value for common factors is 100800.

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 = 149022720000/(4x100800)

LCM = 149022720000/403200

LCM = 369600

Thus, we can understand that the LCM of 600,704,840,420 is 369600.

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

• LCM of 960, 672, 796, 497
• LCM of 665, 746, 494, 621
• LCM of 234, 831, 713, 501
• LCM of 508, 133, 194, 144
• LCM of 847, 247, 825, 906

1. What is the LCM of 600, 704, 840, 420?

Answer: LCM of 600, 704, 840, 420 is 369600.

2. How to calculate the LCM of 600, 704, 840, 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 600, 704, 840, 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}.