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LCM of 360, 663, 111, 851

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


Find the LCM of 360, 663, 111, 851 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 360, 663, 111, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 360,663,111,851

Given numbers are 360,663,111,851

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

The LCM of 360,663,111,851 is 67705560.

Find LCM of 360,663,111,851 with Prime Factorization


3 360, 663, 111, 851
37 120, 221, 37, 851
120, 221, 1, 23

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

3 x 37 x 120 x 221 x 1 x 23 = 67705560

Therefore, the lowest common multiple of 360,663,111,851 is 67705560.

LCM Formula to Find Lowest Common Multiple of 360,663,111,851

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.

360 x 663 x 111 x 851 = 22545951480

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

663 : 1, 3, 13, 17, 39, 51, 221, 663

111 : 1, 3, 37, 111

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,663,111,851, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

663:3x 13x 17

111:3x 37

851:23x 37

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

3x 3x 37 = 333

Therefore, the value for common factors is 333.

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 = 22545951480/(1x333)

LCM = 22545951480/333

LCM = 67705560

Thus, we can understand that the LCM of 360,663,111,851 is 67705560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 360, 663, 111, 851

1. What is the LCM of 360, 663, 111, 851?

Answer: LCM of 360, 663, 111, 851 is 67705560.

2. How to calculate the LCM of 360, 663, 111, 851?

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 360, 663, 111, 851.

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}.