Given numbers are 209,256,869,201,746

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

The LCM of 209,256,869,201,746 is 316897075968.

Find LCM of 209,256,869,201,746 with Prime Factorization

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

2 x 11 x 19 x 128 x 79 x 201 x 373 = 316897075968

Therefore, the lowest common multiple of 209,256,869,201,746 is 316897075968.

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.

209 x 256 x 869 x 201 x 746 = 6971735671296

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.

209 : 1, 11, 19, 209

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

869 : 1, 11, 79, 869

201 : 1, 3, 67, 201

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,256,869,201,746, is 1.

Now, the common factors can be found like this.

209:11x 19

256:2x 2x 2x 2x 2x 2x 2x 2

869:11x 79

201:3x 67

746:2x 373

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 6971735671296/(1x22)

LCM = 6971735671296/22

LCM = 316897075968

Thus, we can understand that the LCM of 209,256,869,201,746 is 316897075968.

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

• LCM of 819, 769, 161, 109, 303
• LCM of 670, 804, 745, 427, 698
• LCM of 477, 298, 764, 399, 723
• LCM of 962, 995, 627, 410, 868
• LCM of 444, 866, 940, 606, 182

1. What is the LCM of 209, 256, 869, 201, 746?

Answer: LCM of 209, 256, 869, 201, 746 is 316897075968.

2. How to calculate the LCM of 209, 256, 869, 201, 746?

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 209, 256, 869, 201, 746.

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}.