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LCM of 662, 319, 720, 561, 630

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


Find the LCM of 662, 319, 720, 561, 630 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 662, 319, 720, 561, 630. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,319,720,561,630

Given numbers are 662,319,720,561,630

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

The LCM of 662,319,720,561,630 is 9046865520.

Find LCM of 662,319,720,561,630 with Prime Factorization


2 662, 319, 720, 561, 630
3 331, 319, 360, 561, 315
3 331, 319, 120, 187, 105
5 331, 319, 40, 187, 35
11 331, 319, 8, 187, 7
331, 29, 8, 17, 7

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

2 x 3 x 3 x 5 x 11 x 331 x 29 x 8 x 17 x 7 = 9046865520

Therefore, the lowest common multiple of 662,319,720,561,630 is 9046865520.

LCM Formula to Find Lowest Common Multiple of 662,319,720,561,630

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.

662 x 319 x 720 x 561 x 630 = 53738381188800

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.

662 : 1, 2, 331, 662

319 : 1, 11, 29, 319

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

561 : 1, 3, 11, 17, 33, 51, 187, 561

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,319,720,561,630, is 1.

Now, the common factors can be found like this.

662:2x 331

319:11x 29

720:2x 2x 2x 2x 3x 3x 5

561:3x 11x 17

630:2x 3x 3x 5x 7

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 3x 3x 3x 5x 11 = 5940

Therefore, the value for common factors is 5940.

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 = 53738381188800/(1x5940)

LCM = 53738381188800/5940

LCM = 9046865520

Thus, we can understand that the LCM of 662,319,720,561,630 is 9046865520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 319, 720, 561, 630

1. What is the LCM of 662, 319, 720, 561, 630?

Answer: LCM of 662, 319, 720, 561, 630 is 9046865520.

2. How to calculate the LCM of 662, 319, 720, 561, 630?

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 662, 319, 720, 561, 630.

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}.