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LCM of 960, 902, 690, 244, 550

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


Find the LCM of 960, 902, 690, 244, 550 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 960, 902, 690, 244, 550. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,902,690,244,550

Given numbers are 960,902,690,244,550

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

The LCM of 960,902,690,244,550 is 3037214400.

Find LCM of 960,902,690,244,550 with Prime Factorization


2 960, 902, 690, 244, 550
2 480, 451, 345, 122, 275
3 240, 451, 345, 61, 275
5 80, 451, 115, 61, 275
11 16, 451, 23, 61, 55
16, 41, 23, 61, 5

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

2 x 2 x 3 x 5 x 11 x 16 x 41 x 23 x 61 x 5 = 3037214400

Therefore, the lowest common multiple of 960,902,690,244,550 is 3037214400.

LCM Formula to Find Lowest Common Multiple of 960,902,690,244,550

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.

960 x 902 x 690 x 244 x 550 = 80182460160000

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

244 : 1, 2, 4, 61, 122, 244

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,902,690,244,550, is 2.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

902:2x 11x 41

690:2x 3x 5x 23

244:2x 2x 61

550:2x 5x 5x 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 2x 2x 2x 3x 5x 5x 11 = 13200

Therefore, the value for common factors is 13200.

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 = 80182460160000/(2x13200)

LCM = 80182460160000/26400

LCM = 3037214400

Thus, we can understand that the LCM of 960,902,690,244,550 is 3037214400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 902, 690, 244, 550

1. What is the LCM of 960, 902, 690, 244, 550?

Answer: LCM of 960, 902, 690, 244, 550 is 3037214400.

2. How to calculate the LCM of 960, 902, 690, 244, 550?

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 960, 902, 690, 244, 550.

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}.