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LCM of 170, 714, 886, 464

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


Find the LCM of 170, 714, 886, 464 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 170, 714, 886, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 170,714,886,464

Given numbers are 170,714,886,464

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

The LCM of 170,714,886,464 is 366910320.

Find LCM of 170,714,886,464 with Prime Factorization


2 170, 714, 886, 464
17 85, 357, 443, 232
5, 21, 443, 232

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

2 x 17 x 5 x 21 x 443 x 232 = 366910320

Therefore, the lowest common multiple of 170,714,886,464 is 366910320.

LCM Formula to Find Lowest Common Multiple of 170,714,886,464

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.

170 x 714 x 886 x 464 = 49899803520

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.

170 : 1, 2, 5, 10, 17, 34, 85, 170

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

886 : 1, 2, 443, 886

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,714,886,464, is 2.

Now, the common factors can be found like this.

170:2x 5x 17

714:2x 3x 7x 17

886:2x 443

464:2x 2x 2x 2x 29

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 17 = 68

Therefore, the value for common factors is 68.

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 = 49899803520/(2x68)

LCM = 49899803520/136

LCM = 366910320

Thus, we can understand that the LCM of 170,714,886,464 is 366910320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 170, 714, 886, 464

1. What is the LCM of 170, 714, 886, 464?

Answer: LCM of 170, 714, 886, 464 is 366910320.

2. How to calculate the LCM of 170, 714, 886, 464?

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 170, 714, 886, 464.

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}.