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LCM of 706, 585, 354

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


Find the LCM of 706, 585, 354 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 706, 585, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 706,585,354

Given numbers are 706,585,354

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

The LCM of 706,585,354 is 24367590.

Find LCM of 706,585,354 with Prime Factorization


2 706, 585, 354
3 353, 585, 177
353, 195, 59

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

2 x 3 x 353 x 195 x 59 = 24367590

Therefore, the lowest common multiple of 706,585,354 is 24367590.

LCM Formula to Find Lowest Common Multiple of 706,585,354

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.

706 x 585 x 354 = 146205540

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.

706 : 1, 2, 353, 706

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,585,354, is 1.

Now, the common factors can be found like this.

706:2x 353

585:3x 3x 5x 13

354:2x 3x 59

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 146205540/(1x6)

LCM = 146205540/6

LCM = 24367590

Thus, we can understand that the LCM of 706,585,354 is 24367590.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 706, 585, 354

1. What is the LCM of 706, 585, 354?

Answer: LCM of 706, 585, 354 is 24367590.

2. How to calculate the LCM of 706, 585, 354?

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 706, 585, 354.

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}.