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LCM of 535, 706, 242, 353, 696

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


Find the LCM of 535, 706, 242, 353, 696 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 535, 706, 242, 353, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,706,242,353,696

Given numbers are 535,706,242,353,696

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

The LCM of 535,706,242,353,696 is 15904612680.

Find LCM of 535,706,242,353,696 with Prime Factorization


2 535, 706, 242, 353, 696
353 535, 353, 121, 353, 348
535, 1, 121, 1, 348

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

2 x 353 x 535 x 1 x 121 x 1 x 348 = 15904612680

Therefore, the lowest common multiple of 535,706,242,353,696 is 15904612680.

LCM Formula to Find Lowest Common Multiple of 535,706,242,353,696

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.

535 x 706 x 242 x 353 x 696 = 22457313104160

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.

535 : 1, 5, 107, 535

706 : 1, 2, 353, 706

242 : 1, 2, 11, 22, 121, 242

353 : 1, 353

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,706,242,353,696, is 1.

Now, the common factors can be found like this.

535:5x 107

706:2x 353

242:2x 11x 11

353:353

696:2x 2x 2x 3x 29

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 353 = 1412

Therefore, the value for common factors is 1412.

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 = 22457313104160/(1x1412)

LCM = 22457313104160/1412

LCM = 15904612680

Thus, we can understand that the LCM of 535,706,242,353,696 is 15904612680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 706, 242, 353, 696

1. What is the LCM of 535, 706, 242, 353, 696?

Answer: LCM of 535, 706, 242, 353, 696 is 15904612680.

2. How to calculate the LCM of 535, 706, 242, 353, 696?

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 535, 706, 242, 353, 696.

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}.