What are the Factors of 2744157468360 ?

Factors of 2744157468360 are . There are integers that are factors of 2744157468360.

How to Find the LCM of 328, 490, 642, 509, 209 ?

Least Common Multiple of 328, 490, 642, 509, 209 = 2744157468360 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(328, 490, 642, 509, 209) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 x 19 x 41 x 107 x 509 = 2744157468360.

What are the Factors of 2744157468360 ?

Factors of 2744157468360 are . There are integers that are factors of 2744157468360.

How to Find the LCM of 328, 490, 642, 509, 209 ?

Least Common Multiple of 328, 490, 642, 509, 209 = 2744157468360 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(328, 490, 642, 509, 209) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 x 19 x 41 x 107 x 509 = 2744157468360.

LCM of 328, 490, 642, 509, 209

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023

Find the LCM of 328, 490, 642, 509, 209 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 328, 490, 642, 509, 209. So, keep reading to learn more.

Calculate the LCM of 328,490,642,509,209

Given numbers are 328,490,642,509,209

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

The LCM of 328,490,642,509,209 is 2744157468360.

Find LCM of 328,490,642,509,209 with Prime Factorization

2	328, 490, 642, 509, 209
	164, 245, 321, 509, 209

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

2 x 164 x 245 x 321 x 509 x 209 = 2744157468360

Therefore, the lowest common multiple of 328,490,642,509,209 is 2744157468360.

LCM Formula to Find Lowest Common Multiple of 328,490,642,509,209

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.

328 x 490 x 642 x 509 x 209 = 10976629873440

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

642 : 1, 2, 3, 6, 107, 214, 321, 642

509 : 1, 509

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,490,642,509,209, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

490:2x 5x 7x 7

642:2x 3x 107

509:509

209:11x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10976629873440/(1x4)

LCM = 10976629873440/4

LCM = 2744157468360

Thus, we can understand that the LCM of 328,490,642,509,209 is 2744157468360.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 328, 490, 642, 509, 209

1. What is the LCM of 328, 490, 642, 509, 209?

Answer: LCM of 328, 490, 642, 509, 209 is 2744157468360.

2. How to calculate the LCM of 328, 490, 642, 509, 209?

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 328, 490, 642, 509, 209.

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}.