Given numbers are 101,201,160,350

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

The LCM of 101,201,160,350 is 113685600.

Find LCM of 101,201,160,350 with Prime Factorization

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

2 x 5 x 101 x 201 x 16 x 35 = 113685600

Therefore, the lowest common multiple of 101,201,160,350 is 113685600.

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.

101 x 201 x 160 x 350 = 1136856000

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.

101 : 1, 101

201 : 1, 3, 67, 201

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,201,160,350, is 1.

Now, the common factors can be found like this.

101:101

201:3x 67

160:2x 2x 2x 2x 2x 5

350:2x 5x 5x 7

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 = 1136856000/(1x10)

LCM = 1136856000/10

LCM = 113685600

Thus, we can understand that the LCM of 101,201,160,350 is 113685600.

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

• LCM of 800, 557, 735, 584
• LCM of 161, 196, 115, 604
• LCM of 123, 616, 952, 728
• LCM of 229, 729, 337, 357
• LCM of 646, 567, 437, 985

1. What is the LCM of 101, 201, 160, 350?

Answer: LCM of 101, 201, 160, 350 is 113685600.

2. How to calculate the LCM of 101, 201, 160, 350?

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 101, 201, 160, 350.

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}.