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LCM of 398, 663, 696, 642, 595

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


Find the LCM of 398, 663, 696, 642, 595 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 398, 663, 696, 642, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,663,696,642,595

Given numbers are 398,663,696,642,595

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

The LCM of 398,663,696,642,595 is 114632143080.

Find LCM of 398,663,696,642,595 with Prime Factorization


2 398, 663, 696, 642, 595
3 199, 663, 348, 321, 595
17 199, 221, 116, 107, 595
199, 13, 116, 107, 35

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

2 x 3 x 17 x 199 x 13 x 116 x 107 x 35 = 114632143080

Therefore, the lowest common multiple of 398,663,696,642,595 is 114632143080.

LCM Formula to Find Lowest Common Multiple of 398,663,696,642,595

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.

398 x 663 x 696 x 642 x 595 = 70154871564960

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.

398 : 1, 2, 199, 398

663 : 1, 3, 13, 17, 39, 51, 221, 663

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,663,696,642,595, is 1.

Now, the common factors can be found like this.

398:2x 199

663:3x 13x 17

696:2x 2x 2x 3x 29

642:2x 3x 107

595:5x 7x 17

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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 70154871564960/(1x612)

LCM = 70154871564960/612

LCM = 114632143080

Thus, we can understand that the LCM of 398,663,696,642,595 is 114632143080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 663, 696, 642, 595

1. What is the LCM of 398, 663, 696, 642, 595?

Answer: LCM of 398, 663, 696, 642, 595 is 114632143080.

2. How to calculate the LCM of 398, 663, 696, 642, 595?

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 398, 663, 696, 642, 595.

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}.