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LCM of 245, 827, 646, 329, 987

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


Find the LCM of 245, 827, 646, 329, 987 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 245, 827, 646, 329, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 245,827,646,329,987

Given numbers are 245,827,646,329,987

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

The LCM of 245,827,646,329,987 is 18455389890.

Find LCM of 245,827,646,329,987 with Prime Factorization


7 245, 827, 646, 329, 987
47 35, 827, 646, 47, 141
35, 827, 646, 1, 3

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

7 x 47 x 35 x 827 x 646 x 1 x 3 = 18455389890

Therefore, the lowest common multiple of 245,827,646,329,987 is 18455389890.

LCM Formula to Find Lowest Common Multiple of 245,827,646,329,987

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.

245 x 827 x 646 x 329 x 987 = 42502762916670

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.

245 : 1, 5, 7, 35, 49, 245

827 : 1, 827

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

329 : 1, 7, 47, 329

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,827,646,329,987, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

827:827

646:2x 17x 19

329:7x 47

987:3x 7x 47

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

7x 7x 47 = 2303

Therefore, the value for common factors is 2303.

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 = 42502762916670/(1x2303)

LCM = 42502762916670/2303

LCM = 18455389890

Thus, we can understand that the LCM of 245,827,646,329,987 is 18455389890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 245, 827, 646, 329, 987

1. What is the LCM of 245, 827, 646, 329, 987?

Answer: LCM of 245, 827, 646, 329, 987 is 18455389890.

2. How to calculate the LCM of 245, 827, 646, 329, 987?

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 245, 827, 646, 329, 987.

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}.