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LCM of 960, 353, 144, 214, 102

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


Find the LCM of 960, 353, 144, 214, 102 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, 353, 144, 214, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,353,144,214,102

Given numbers are 960,353,144,214,102

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

The LCM of 960,353,144,214,102 is 1849268160.

Find LCM of 960,353,144,214,102 with Prime Factorization


2 960, 353, 144, 214, 102
2 480, 353, 72, 107, 51
2 240, 353, 36, 107, 51
2 120, 353, 18, 107, 51
3 60, 353, 9, 107, 51
20, 353, 3, 107, 17

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

2 x 2 x 2 x 2 x 3 x 20 x 353 x 3 x 107 x 17 = 1849268160

Therefore, the lowest common multiple of 960,353,144,214,102 is 1849268160.

LCM Formula to Find Lowest Common Multiple of 960,353,144,214,102

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 353 x 144 x 214 x 102 = 1065178460160

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

353 : 1, 353

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

214 : 1, 2, 107, 214

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,353,144,214,102, is 1.

Now, the common factors can be found like this.

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

353:353

144:2x 2x 2x 2x 3x 3

214:2x 107

102:2x 3x 17

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 1065178460160/(1x576)

LCM = 1065178460160/576

LCM = 1849268160

Thus, we can understand that the LCM of 960,353,144,214,102 is 1849268160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 353, 144, 214, 102

1. What is the LCM of 960, 353, 144, 214, 102?

Answer: LCM of 960, 353, 144, 214, 102 is 1849268160.

2. How to calculate the LCM of 960, 353, 144, 214, 102?

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, 353, 144, 214, 102.

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}.