Given numbers are 505,112,190,149

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

The LCM of 505,112,190,149 is 160121360.

Find LCM of 505,112,190,149 with Prime Factorization

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

2 x 5 x 101 x 56 x 19 x 149 = 160121360

Therefore, the lowest common multiple of 505,112,190,149 is 160121360.

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.

505 x 112 x 190 x 149 = 1601213600

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.

505 : 1, 5, 101, 505

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

190 : 1, 2, 5, 10, 19, 38, 95, 190

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,112,190,149, is 1.

Now, the common factors can be found like this.

505:5x 101

112:2x 2x 2x 2x 7

190:2x 5x 19

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 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 = 1601213600/(1x10)

LCM = 1601213600/10

LCM = 160121360

Thus, we can understand that the LCM of 505,112,190,149 is 160121360.

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

• LCM of 107, 838, 542, 300
• LCM of 356, 721, 123, 757
• LCM of 665, 270, 428, 640
• LCM of 971, 316, 601, 557
• LCM of 948, 777, 241, 860

1. What is the LCM of 505, 112, 190, 149?

Answer: LCM of 505, 112, 190, 149 is 160121360.

2. How to calculate the LCM of 505, 112, 190, 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 505, 112, 190, 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}.