Given numbers are 855,107,148,205,146

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

The LCM of 855,107,148,205,146 is 40524561540.

Find LCM of 855,107,148,205,146 with Prime Factorization

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

2 x 5 x 171 x 107 x 74 x 41 x 73 = 40524561540

Therefore, the lowest common multiple of 855,107,148,205,146 is 40524561540.

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.

855 x 107 x 148 x 205 x 146 = 405245615400

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

107 : 1, 107

148 : 1, 2, 4, 37, 74, 148

205 : 1, 5, 41, 205

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,107,148,205,146, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

107:107

148:2x 2x 37

205:5x 41

146:2x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 405245615400/(1x10)

LCM = 405245615400/10

LCM = 40524561540

Thus, we can understand that the LCM of 855,107,148,205,146 is 40524561540.

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

• LCM of 430, 302, 851, 109, 322
• LCM of 677, 846, 797, 820, 398
• LCM of 616, 907, 569, 200, 992
• LCM of 619, 620, 187, 172, 894
• LCM of 905, 896, 707, 349, 545

1. What is the LCM of 855, 107, 148, 205, 146?

Answer: LCM of 855, 107, 148, 205, 146 is 40524561540.

2. How to calculate the LCM of 855, 107, 148, 205, 146?

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 855, 107, 148, 205, 146.

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}.