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LCM of 690, 693, 147, 351

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


Find the LCM of 690, 693, 147, 351 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 690, 693, 147, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 690,693,147,351

Given numbers are 690,693,147,351

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

The LCM of 690,693,147,351 is 43513470.

Find LCM of 690,693,147,351 with Prime Factorization


3 690, 693, 147, 351
3 230, 231, 49, 117
7 230, 77, 49, 39
230, 11, 7, 39

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

3 x 3 x 7 x 230 x 11 x 7 x 39 = 43513470

Therefore, the lowest common multiple of 690,693,147,351 is 43513470.

LCM Formula to Find Lowest Common Multiple of 690,693,147,351

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.

690 x 693 x 147 x 351 = 24672137490

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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

147 : 1, 3, 7, 21, 49, 147

351 : 1, 3, 9, 13, 27, 39, 117, 351

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,693,147,351, is 3.

Now, the common factors can be found like this.

690:2x 3x 5x 23

693:3x 3x 7x 11

147:3x 7x 7

351:3x 3x 3x 13

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 3x 7 = 189

Therefore, the value for common factors is 189.

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 = 24672137490/(3x189)

LCM = 24672137490/567

LCM = 43513470

Thus, we can understand that the LCM of 690,693,147,351 is 43513470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 690, 693, 147, 351

1. What is the LCM of 690, 693, 147, 351?

Answer: LCM of 690, 693, 147, 351 is 43513470.

2. How to calculate the LCM of 690, 693, 147, 351?

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 690, 693, 147, 351.

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}.