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LCM of 258, 659, 214, 225, 763

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


Find the LCM of 258, 659, 214, 225, 763 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, 659, 214, 225, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,659,214,225,763

Given numbers are 258,659,214,225,763

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

The LCM of 258,659,214,225,763 is 1041057457650.

Find LCM of 258,659,214,225,763 with Prime Factorization


2 258, 659, 214, 225, 763
3 129, 659, 107, 225, 763
43, 659, 107, 75, 763

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

2 x 3 x 43 x 659 x 107 x 75 x 763 = 1041057457650

Therefore, the lowest common multiple of 258,659,214,225,763 is 1041057457650.

LCM Formula to Find Lowest Common Multiple of 258,659,214,225,763

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 659 x 214 x 225 x 763 = 6246344745900

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

659 : 1, 659

214 : 1, 2, 107, 214

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,659,214,225,763, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

659:659

214:2x 107

225:3x 3x 5x 5

763:7x 109

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 = 6246344745900/(1x6)

LCM = 6246344745900/6

LCM = 1041057457650

Thus, we can understand that the LCM of 258,659,214,225,763 is 1041057457650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 659, 214, 225, 763

1. What is the LCM of 258, 659, 214, 225, 763?

Answer: LCM of 258, 659, 214, 225, 763 is 1041057457650.

2. How to calculate the LCM of 258, 659, 214, 225, 763?

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, 659, 214, 225, 763.

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}.