Given numbers are 894,504,592,149

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

The LCM of 894,504,592,149 is 5557104.

Find LCM of 894,504,592,149 with Prime Factorization

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

2 x 2 x 2 x 3 x 149 x 1 x 21 x 74 x 1 = 5557104

Therefore, the lowest common multiple of 894,504,592,149 is 5557104.

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.

894 x 504 x 592 x 149 = 39744407808

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,504,592,149, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

504:2x 2x 2x 3x 3x 7

592:2x 2x 2x 2x 37

149:149

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 3x 149 = 7152

Therefore, the value for common factors is 7152.

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 = 39744407808/(1x7152)

LCM = 39744407808/7152

LCM = 5557104

Thus, we can understand that the LCM of 894,504,592,149 is 5557104.

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

• LCM of 806, 210, 790, 785
• LCM of 382, 943, 123, 106
• LCM of 895, 700, 271, 102
• LCM of 529, 171, 486, 759
• LCM of 115, 261, 625, 546

1. What is the LCM of 894, 504, 592, 149?

Answer: LCM of 894, 504, 592, 149 is 5557104.

2. How to calculate the LCM of 894, 504, 592, 149?

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 894, 504, 592, 149.

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}.