Given numbers are 906,752,900,919

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

The LCM of 906,752,900,919 is 23479714800.

Find LCM of 906,752,900,919 with Prime Factorization

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

2 x 2 x 3 x 151 x 188 x 75 x 919 = 23479714800

Therefore, the lowest common multiple of 906,752,900,919 is 23479714800.

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.

906 x 752 x 900 x 919 = 563513155200

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,752,900,919, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

752:2x 2x 2x 2x 47

900:2x 2x 3x 3x 5x 5

919:919

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 = 563513155200/(1x24)

LCM = 563513155200/24

LCM = 23479714800

Thus, we can understand that the LCM of 906,752,900,919 is 23479714800.

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

• LCM of 830, 645, 814, 253
• LCM of 232, 322, 946, 455
• LCM of 367, 548, 563, 133
• LCM of 515, 553, 359, 650
• LCM of 920, 880, 150, 803

1. What is the LCM of 906, 752, 900, 919?

Answer: LCM of 906, 752, 900, 919 is 23479714800.

2. How to calculate the LCM of 906, 752, 900, 919?

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 906, 752, 900, 919.

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}.