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LCM of 705, 990, 471, 312, 647

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


Find the LCM of 705, 990, 471, 312, 647 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 705, 990, 471, 312, 647. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 705,990,471,312,647

Given numbers are 705,990,471,312,647

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

The LCM of 705,990,471,312,647 is 245776485240.

Find LCM of 705,990,471,312,647 with Prime Factorization


2 705, 990, 471, 312, 647
3 705, 495, 471, 156, 647
5 235, 165, 157, 52, 647
47, 33, 157, 52, 647

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

2 x 3 x 5 x 47 x 33 x 157 x 52 x 647 = 245776485240

Therefore, the lowest common multiple of 705,990,471,312,647 is 245776485240.

LCM Formula to Find Lowest Common Multiple of 705,990,471,312,647

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.

705 x 990 x 471 x 312 x 647 = 66359651014800

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

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

471 : 1, 3, 157, 471

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

647 : 1, 647

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,990,471,312,647, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

990:2x 3x 3x 5x 11

471:3x 157

312:2x 2x 2x 3x 13

647:647

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 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 66359651014800/(1x270)

LCM = 66359651014800/270

LCM = 245776485240

Thus, we can understand that the LCM of 705,990,471,312,647 is 245776485240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 705, 990, 471, 312, 647

1. What is the LCM of 705, 990, 471, 312, 647?

Answer: LCM of 705, 990, 471, 312, 647 is 245776485240.

2. How to calculate the LCM of 705, 990, 471, 312, 647?

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 705, 990, 471, 312, 647.

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}.