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LCM of 262, 723, 482, 170

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


Find the LCM of 262, 723, 482, 170 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 262, 723, 482, 170. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 262,723,482,170

Given numbers are 262,723,482,170

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

The LCM of 262,723,482,170 is 16101210.

Find LCM of 262,723,482,170 with Prime Factorization


2 262, 723, 482, 170
241 131, 723, 241, 85
131, 3, 1, 85

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

2 x 241 x 131 x 3 x 1 x 85 = 16101210

Therefore, the lowest common multiple of 262,723,482,170 is 16101210.

LCM Formula to Find Lowest Common Multiple of 262,723,482,170

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.

262 x 723 x 482 x 170 = 15521566440

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.

262 : 1, 2, 131, 262

723 : 1, 3, 241, 723

482 : 1, 2, 241, 482

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,723,482,170, is 1.

Now, the common factors can be found like this.

262:2x 131

723:3x 241

482:2x 241

170:2x 5x 17

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 241 = 964

Therefore, the value for common factors is 964.

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 = 15521566440/(1x964)

LCM = 15521566440/964

LCM = 16101210

Thus, we can understand that the LCM of 262,723,482,170 is 16101210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 262, 723, 482, 170

1. What is the LCM of 262, 723, 482, 170?

Answer: LCM of 262, 723, 482, 170 is 16101210.

2. How to calculate the LCM of 262, 723, 482, 170?

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 262, 723, 482, 170.

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}.