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LCM of 646, 290, 610, 305

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


Find the LCM of 646, 290, 610, 305 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 646, 290, 610, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,290,610,305

Given numbers are 646,290,610,305

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

The LCM of 646,290,610,305 is 5713870.

Find LCM of 646,290,610,305 with Prime Factorization


2 646, 290, 610, 305
5 323, 145, 305, 305
61 323, 29, 61, 61
323, 29, 1, 1

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

2 x 5 x 61 x 323 x 29 x 1 x 1 = 5713870

Therefore, the lowest common multiple of 646,290,610,305 is 5713870.

LCM Formula to Find Lowest Common Multiple of 646,290,610,305

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.

646 x 290 x 610 x 305 = 34854607000

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

290 : 1, 2, 5, 10, 29, 58, 145, 290

610 : 1, 2, 5, 10, 61, 122, 305, 610

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,290,610,305, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

290:2x 5x 29

610:2x 5x 61

305:5x 61

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

2x 2x 5x 5x 61 = 6100

Therefore, the value for common factors is 6100.

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 = 34854607000/(1x6100)

LCM = 34854607000/6100

LCM = 5713870

Thus, we can understand that the LCM of 646,290,610,305 is 5713870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 290, 610, 305

1. What is the LCM of 646, 290, 610, 305?

Answer: LCM of 646, 290, 610, 305 is 5713870.

2. How to calculate the LCM of 646, 290, 610, 305?

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 646, 290, 610, 305.

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}.