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LCM of 258, 711, 835, 982

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


Find the LCM of 258, 711, 835, 982 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 258, 711, 835, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,711,835,982

Given numbers are 258,711,835,982

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

The LCM of 258,711,835,982 is 25068942810.

Find LCM of 258,711,835,982 with Prime Factorization


2 258, 711, 835, 982
3 129, 711, 835, 491
43, 237, 835, 491

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

2 x 3 x 43 x 237 x 835 x 491 = 25068942810

Therefore, the lowest common multiple of 258,711,835,982 is 25068942810.

LCM Formula to Find Lowest Common Multiple of 258,711,835,982

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.

258 x 711 x 835 x 982 = 150413656860

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

711 : 1, 3, 9, 79, 237, 711

835 : 1, 5, 167, 835

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,711,835,982, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

711:3x 3x 79

835:5x 167

982:2x 491

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 150413656860/(1x6)

LCM = 150413656860/6

LCM = 25068942810

Thus, we can understand that the LCM of 258,711,835,982 is 25068942810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 711, 835, 982

1. What is the LCM of 258, 711, 835, 982?

Answer: LCM of 258, 711, 835, 982 is 25068942810.

2. How to calculate the LCM of 258, 711, 835, 982?

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 258, 711, 835, 982.

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}.