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LCM of 618, 986, 669, 353, 867

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


Find the LCM of 618, 986, 669, 353, 867 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 618, 986, 669, 353, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 618,986,669,353,867

Given numbers are 618,986,669,353,867

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

The LCM of 618,986,669,353,867 is 407721754302.

Find LCM of 618,986,669,353,867 with Prime Factorization


2 618, 986, 669, 353, 867
3 309, 493, 669, 353, 867
17 103, 493, 223, 353, 289
103, 29, 223, 353, 17

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

2 x 3 x 17 x 103 x 29 x 223 x 353 x 17 = 407721754302

Therefore, the lowest common multiple of 618,986,669,353,867 is 407721754302.

LCM Formula to Find Lowest Common Multiple of 618,986,669,353,867

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.

618 x 986 x 669 x 353 x 867 = 124762856816412

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.

618 : 1, 2, 3, 6, 103, 206, 309, 618

986 : 1, 2, 17, 29, 34, 58, 493, 986

669 : 1, 3, 223, 669

353 : 1, 353

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,986,669,353,867, is 1.

Now, the common factors can be found like this.

618:2x 3x 103

986:2x 17x 29

669:3x 223

353:353

867:3x 17x 17

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

2x 3x 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 124762856816412/(1x306)

LCM = 124762856816412/306

LCM = 407721754302

Thus, we can understand that the LCM of 618,986,669,353,867 is 407721754302.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 618, 986, 669, 353, 867

1. What is the LCM of 618, 986, 669, 353, 867?

Answer: LCM of 618, 986, 669, 353, 867 is 407721754302.

2. How to calculate the LCM of 618, 986, 669, 353, 867?

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 618, 986, 669, 353, 867.

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}.