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LCM of 693, 990, 154

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


Find the LCM of 693, 990, 154 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 693, 990, 154. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 693,990,154

Given numbers are 693,990,154

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

The LCM of 693,990,154 is 6930.

Find LCM of 693,990,154 with Prime Factorization


2 693, 990, 154
3 693, 495, 77
3 231, 165, 77
7 77, 55, 77
11 11, 55, 11
1, 5, 1

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

2 x 3 x 3 x 7 x 11 x 1 x 5 x 1 = 6930

Therefore, the lowest common multiple of 693,990,154 is 6930.

LCM Formula to Find Lowest Common Multiple of 693,990,154

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.

693 x 990 x 154 = 105654780

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

154 : 1, 2, 7, 11, 14, 22, 77, 154

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,990,154, is 11.

Now, the common factors can be found like this.

693:3x 3x 7x 11

990:2x 3x 3x 5x 11

154:2x 7x 11

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 7x 11 = 1386

Therefore, the value for common factors is 1386.

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 = 105654780/(11x1386)

LCM = 105654780/15246

LCM = 6930

Thus, we can understand that the LCM of 693,990,154 is 6930.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 693, 990, 154

1. What is the LCM of 693, 990, 154?

Answer: LCM of 693, 990, 154 is 6930.

2. How to calculate the LCM of 693, 990, 154?

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 693, 990, 154.

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}.