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LCM of 241, 598, 466, 858

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


Find the LCM of 241, 598, 466, 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 241, 598, 466, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,598,466,858

Given numbers are 241,598,466,858

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

The LCM of 241,598,466,858 is 1108123302.

Find LCM of 241,598,466,858 with Prime Factorization


2 241, 598, 466, 858
13 241, 299, 233, 429
241, 23, 233, 33

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

2 x 13 x 241 x 23 x 233 x 33 = 1108123302

Therefore, the lowest common multiple of 241,598,466,858 is 1108123302.

LCM Formula to Find Lowest Common Multiple of 241,598,466,858

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.

241 x 598 x 466 x 858 = 57622411704

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.

241 : 1, 241

598 : 1, 2, 13, 23, 26, 46, 299, 598

466 : 1, 2, 233, 466

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 241,598,466,858, is 1.

Now, the common factors can be found like this.

241:241

598:2x 13x 23

466:2x 233

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 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 57622411704/(1x52)

LCM = 57622411704/52

LCM = 1108123302

Thus, we can understand that the LCM of 241,598,466,858 is 1108123302.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 598, 466, 858

1. What is the LCM of 241, 598, 466, 858?

Answer: LCM of 241, 598, 466, 858 is 1108123302.

2. How to calculate the LCM of 241, 598, 466, 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 241, 598, 466, 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}.