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LCM of 697, 660, 900, 660, 446

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


Find the LCM of 697, 660, 900, 660, 446 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 697, 660, 900, 660, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 697,660,900,660,446

Given numbers are 697,660,900,660,446

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

The LCM of 697,660,900,660,446 is 1538766900.

Find LCM of 697,660,900,660,446 with Prime Factorization


2 697, 660, 900, 660, 446
2 697, 330, 450, 330, 223
3 697, 165, 225, 165, 223
5 697, 55, 75, 55, 223
11 697, 11, 15, 11, 223
697, 1, 15, 1, 223

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

2 x 2 x 3 x 5 x 11 x 697 x 1 x 15 x 1 x 223 = 1538766900

Therefore, the lowest common multiple of 697,660,900,660,446 is 1538766900.

LCM Formula to Find Lowest Common Multiple of 697,660,900,660,446

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.

697 x 660 x 900 x 660 x 446 = 121870338480000

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.

697 : 1, 17, 41, 697

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,660,900,660,446, is 1.

Now, the common factors can be found like this.

697:17x 41

660:2x 2x 3x 5x 11

900:2x 2x 3x 3x 5x 5

660:2x 2x 3x 5x 11

446:2x 223

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 2x 2x 2x 3x 3x 5x 5x 11 = 79200

Therefore, the value for common factors is 79200.

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 = 121870338480000/(1x79200)

LCM = 121870338480000/79200

LCM = 1538766900

Thus, we can understand that the LCM of 697,660,900,660,446 is 1538766900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 697, 660, 900, 660, 446

1. What is the LCM of 697, 660, 900, 660, 446?

Answer: LCM of 697, 660, 900, 660, 446 is 1538766900.

2. How to calculate the LCM of 697, 660, 900, 660, 446?

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 697, 660, 900, 660, 446.

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}.