Given numbers are 900,149,221,966,924

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

The LCM of 900,149,221,966,924 is 52485533100.

Find LCM of 900,149,221,966,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 75 x 149 x 221 x 23 x 11 = 52485533100

Therefore, the lowest common multiple of 900,149,221,966,924 is 52485533100.

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.

900 x 149 x 221 x 966 x 924 = 26452708682400

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.

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

149 : 1, 149

221 : 1, 13, 17, 221

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,149,221,966,924, is 1.

Now, the common factors can be found like this.

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

149:149

221:13x 17

966:2x 3x 7x 23

924:2x 2x 3x 7x 11

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 26452708682400/(1x504)

LCM = 26452708682400/504

LCM = 52485533100

Thus, we can understand that the LCM of 900,149,221,966,924 is 52485533100.

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

• LCM of 901, 146, 897, 275, 794
• LCM of 119, 684, 494, 522, 328
• LCM of 577, 445, 655, 807, 264
• LCM of 936, 925, 385, 956, 701
• LCM of 464, 763, 789, 506, 665

1. What is the LCM of 900, 149, 221, 966, 924?

Answer: LCM of 900, 149, 221, 966, 924 is 52485533100.

2. How to calculate the LCM of 900, 149, 221, 966, 924?

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 900, 149, 221, 966, 924.

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}.