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LCM of 160, 323, 323, 702

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


Find the LCM of 160, 323, 323, 702 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 160, 323, 323, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 160,323,323,702

Given numbers are 160,323,323,702

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

The LCM of 160,323,323,702 is 18139680.

Find LCM of 160,323,323,702 with Prime Factorization


2 160, 323, 323, 702
17 80, 323, 323, 351
19 80, 19, 19, 351
80, 1, 1, 351

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

2 x 17 x 19 x 80 x 1 x 1 x 351 = 18139680

Therefore, the lowest common multiple of 160,323,323,702 is 18139680.

LCM Formula to Find Lowest Common Multiple of 160,323,323,702

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.

160 x 323 x 323 x 702 = 11718233280

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.

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

323 : 1, 17, 19, 323

323 : 1, 17, 19, 323

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,323,323,702, is 1.

Now, the common factors can be found like this.

160:2x 2x 2x 2x 2x 5

323:17x 19

323:17x 19

702:2x 3x 3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17x 19 = 646

Therefore, the value for common factors is 646.

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 = 11718233280/(1x646)

LCM = 11718233280/646

LCM = 18139680

Thus, we can understand that the LCM of 160,323,323,702 is 18139680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 160, 323, 323, 702

1. What is the LCM of 160, 323, 323, 702?

Answer: LCM of 160, 323, 323, 702 is 18139680.

2. How to calculate the LCM of 160, 323, 323, 702?

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 160, 323, 323, 702.

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}.