Given numbers are 114,149,700,300,995

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

The LCM of 114,149,700,300,995 is 1183074900.

Find LCM of 114,149,700,300,995 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 19 x 149 x 7 x 1 x 199 = 1183074900

Therefore, the lowest common multiple of 114,149,700,300,995 is 1183074900.

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.

114 x 149 x 700 x 300 x 995 = 3549224700000

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

149 : 1, 149

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

995 : 1, 5, 199, 995

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,149,700,300,995, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

149:149

700:2x 2x 5x 5x 7

300:2x 2x 3x 5x 5

995:5x 199

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 5x 5x 5 = 3000

Therefore, the value for common factors is 3000.

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 = 3549224700000/(1x3000)

LCM = 3549224700000/3000

LCM = 1183074900

Thus, we can understand that the LCM of 114,149,700,300,995 is 1183074900.

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

• LCM of 268, 735, 570, 152, 826
• LCM of 279, 320, 395, 842, 552
• LCM of 856, 469, 719, 766, 444
• LCM of 524, 553, 357, 416, 523
• LCM of 101, 179, 842, 603, 168

1. What is the LCM of 114, 149, 700, 300, 995?

Answer: LCM of 114, 149, 700, 300, 995 is 1183074900.

2. How to calculate the LCM of 114, 149, 700, 300, 995?

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 114, 149, 700, 300, 995.

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}.