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LCM of 258, 992, 676, 177, 620

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


Find the LCM of 258, 992, 676, 177, 620 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, 992, 676, 177, 620. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,992,676,177,620

Given numbers are 258,992,676,177,620

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

The LCM of 258,992,676,177,620 is 6379844640.

Find LCM of 258,992,676,177,620 with Prime Factorization


2 258, 992, 676, 177, 620
2 129, 496, 338, 177, 310
3 129, 248, 169, 177, 155
31 43, 248, 169, 59, 155
43, 8, 169, 59, 5

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

2 x 2 x 3 x 31 x 43 x 8 x 169 x 59 x 5 = 6379844640

Therefore, the lowest common multiple of 258,992,676,177,620 is 6379844640.

LCM Formula to Find Lowest Common Multiple of 258,992,676,177,620

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 992 x 676 x 177 x 620 = 18986417648640

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

177 : 1, 3, 59, 177

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,992,676,177,620, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

992:2x 2x 2x 2x 2x 31

676:2x 2x 13x 13

177:3x 59

620:2x 2x 5x 31

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 2x 2x 2x 3x 31 = 2976

Therefore, the value for common factors is 2976.

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 = 18986417648640/(1x2976)

LCM = 18986417648640/2976

LCM = 6379844640

Thus, we can understand that the LCM of 258,992,676,177,620 is 6379844640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 992, 676, 177, 620

1. What is the LCM of 258, 992, 676, 177, 620?

Answer: LCM of 258, 992, 676, 177, 620 is 6379844640.

2. How to calculate the LCM of 258, 992, 676, 177, 620?

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, 992, 676, 177, 620.

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}.