Given numbers are 420,167,913,728

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

The LCM of 420,167,913,728 is 1664983320.

Find LCM of 420,167,913,728 with Prime Factorization

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

2 x 2 x 7 x 15 x 167 x 913 x 26 = 1664983320

Therefore, the lowest common multiple of 420,167,913,728 is 1664983320.

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.

420 x 167 x 913 x 728 = 46619532960

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.

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

167 : 1, 167

913 : 1, 11, 83, 913

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,167,913,728, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

167:167

913:11x 83

728:2x 2x 2x 7x 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 7 = 28

Therefore, the value for common factors is 28.

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 = 46619532960/(1x28)

LCM = 46619532960/28

LCM = 1664983320

Thus, we can understand that the LCM of 420,167,913,728 is 1664983320.

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

• LCM of 973, 163, 374, 877
• LCM of 964, 875, 250, 775
• LCM of 174, 592, 362, 624
• LCM of 734, 897, 656, 161
• LCM of 609, 891, 952, 118

1. What is the LCM of 420, 167, 913, 728?

Answer: LCM of 420, 167, 913, 728 is 1664983320.

2. How to calculate the LCM of 420, 167, 913, 728?

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 420, 167, 913, 728.

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}.