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LCM of 398, 143, 409, 897, 858

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


Find the LCM of 398, 143, 409, 897, 858 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, 143, 409, 897, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,143,409,897,858

Given numbers are 398,143,409,897,858

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

The LCM of 398,143,409,897,858 is 1606169994.

Find LCM of 398,143,409,897,858 with Prime Factorization


2 398, 143, 409, 897, 858
3 199, 143, 409, 897, 429
11 199, 143, 409, 299, 143
13 199, 13, 409, 299, 13
199, 1, 409, 23, 1

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

2 x 3 x 11 x 13 x 199 x 1 x 409 x 23 x 1 = 1606169994

Therefore, the lowest common multiple of 398,143,409,897,858 is 1606169994.

LCM Formula to Find Lowest Common Multiple of 398,143,409,897,858

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 143 x 409 x 897 x 858 = 17915220113076

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

143 : 1, 11, 13, 143

409 : 1, 409

897 : 1, 3, 13, 23, 39, 69, 299, 897

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,143,409,897,858, is 1.

Now, the common factors can be found like this.

398:2x 199

143:11x 13

409:409

897:3x 13x 23

858:2x 3x 11x 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 3x 11x 13x 13 = 11154

Therefore, the value for common factors is 11154.

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 = 17915220113076/(1x11154)

LCM = 17915220113076/11154

LCM = 1606169994

Thus, we can understand that the LCM of 398,143,409,897,858 is 1606169994.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 143, 409, 897, 858

1. What is the LCM of 398, 143, 409, 897, 858?

Answer: LCM of 398, 143, 409, 897, 858 is 1606169994.

2. How to calculate the LCM of 398, 143, 409, 897, 858?

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, 143, 409, 897, 858.

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}.