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LCM of 701, 610, 585, 163, 398

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


Find the LCM of 701, 610, 585, 163, 398 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, 610, 585, 163, 398. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,610,585,163,398

Given numbers are 701,610,585,163,398

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

The LCM of 701,610,585,163,398 is 1622835111690.

Find LCM of 701,610,585,163,398 with Prime Factorization


2 701, 610, 585, 163, 398
5 701, 305, 585, 163, 199
701, 61, 117, 163, 199

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

2 x 5 x 701 x 61 x 117 x 163 x 199 = 1622835111690

Therefore, the lowest common multiple of 701,610,585,163,398 is 1622835111690.

LCM Formula to Find Lowest Common Multiple of 701,610,585,163,398

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 610 x 585 x 163 x 398 = 16228351116900

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

163 : 1, 163

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,610,585,163,398, is 1.

Now, the common factors can be found like this.

701:701

610:2x 5x 61

585:3x 3x 5x 13

163:163

398:2x 199

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 16228351116900/(1x10)

LCM = 16228351116900/10

LCM = 1622835111690

Thus, we can understand that the LCM of 701,610,585,163,398 is 1622835111690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 610, 585, 163, 398

1. What is the LCM of 701, 610, 585, 163, 398?

Answer: LCM of 701, 610, 585, 163, 398 is 1622835111690.

2. How to calculate the LCM of 701, 610, 585, 163, 398?

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, 610, 585, 163, 398.

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}.