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LCM of 701, 592, 323, 701, 318

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


Find the LCM of 701, 592, 323, 701, 318 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 701, 592, 323, 701, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,592,323,701,318

Given numbers are 701,592,323,701,318

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

The LCM of 701,592,323,701,318 is 21312744144.

Find LCM of 701,592,323,701,318 with Prime Factorization


2 701, 592, 323, 701, 318
701 701, 296, 323, 701, 159
1, 296, 323, 1, 159

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

2 x 701 x 1 x 296 x 323 x 1 x 159 = 21312744144

Therefore, the lowest common multiple of 701,592,323,701,318 is 21312744144.

LCM Formula to Find Lowest Common Multiple of 701,592,323,701,318

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.

701 x 592 x 323 x 701 x 318 = 29880467289888

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.

701 : 1, 701

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

323 : 1, 17, 19, 323

701 : 1, 701

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,592,323,701,318, is 1.

Now, the common factors can be found like this.

701:701

592:2x 2x 2x 2x 37

323:17x 19

701:701

318:2x 3x 53

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

2x 701 = 1402

Therefore, the value for common factors is 1402.

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 = 29880467289888/(1x1402)

LCM = 29880467289888/1402

LCM = 21312744144

Thus, we can understand that the LCM of 701,592,323,701,318 is 21312744144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 592, 323, 701, 318

1. What is the LCM of 701, 592, 323, 701, 318?

Answer: LCM of 701, 592, 323, 701, 318 is 21312744144.

2. How to calculate the LCM of 701, 592, 323, 701, 318?

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 701, 592, 323, 701, 318.

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}.