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LCM of 105, 524, 286, 640, 353

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


Find the LCM of 105, 524, 286, 640, 353 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 105, 524, 286, 640, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 105,524,286,640,353

Given numbers are 105,524,286,640,353

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

The LCM of 105,524,286,640,353 is 88875346560.

Find LCM of 105,524,286,640,353 with Prime Factorization


2 105, 524, 286, 640, 353
2 105, 262, 143, 320, 353
5 105, 131, 143, 160, 353
21, 131, 143, 32, 353

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

2 x 2 x 5 x 21 x 131 x 143 x 32 x 353 = 88875346560

Therefore, the lowest common multiple of 105,524,286,640,353 is 88875346560.

LCM Formula to Find Lowest Common Multiple of 105,524,286,640,353

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.

105 x 524 x 286 x 640 x 353 = 3555013862400

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

524 : 1, 2, 4, 131, 262, 524

286 : 1, 2, 11, 13, 22, 26, 143, 286

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,524,286,640,353, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

524:2x 2x 131

286:2x 11x 13

640:2x 2x 2x 2x 2x 2x 2x 5

353:353

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 5 = 40

Therefore, the value for common factors is 40.

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 = 3555013862400/(1x40)

LCM = 3555013862400/40

LCM = 88875346560

Thus, we can understand that the LCM of 105,524,286,640,353 is 88875346560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 105, 524, 286, 640, 353

1. What is the LCM of 105, 524, 286, 640, 353?

Answer: LCM of 105, 524, 286, 640, 353 is 88875346560.

2. How to calculate the LCM of 105, 524, 286, 640, 353?

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 105, 524, 286, 640, 353.

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}.