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LCM of 862, 166, 334, 958, 450

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


Find the LCM of 862, 166, 334, 958, 450 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 862, 166, 334, 958, 450. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,166,334,958,450

Given numbers are 862,166,334,958,450

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

The LCM of 862,166,334,958,450 is 1287715315050.

Find LCM of 862,166,334,958,450 with Prime Factorization


2 862, 166, 334, 958, 450
431, 83, 167, 479, 225

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

2 x 431 x 83 x 167 x 479 x 225 = 1287715315050

Therefore, the lowest common multiple of 862,166,334,958,450 is 1287715315050.

LCM Formula to Find Lowest Common Multiple of 862,166,334,958,450

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.

862 x 166 x 334 x 958 x 450 = 20603445040800

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.

862 : 1, 2, 431, 862

166 : 1, 2, 83, 166

334 : 1, 2, 167, 334

958 : 1, 2, 479, 958

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,166,334,958,450, is 2.

Now, the common factors can be found like this.

862:2x 431

166:2x 83

334:2x 167

958:2x 479

450:2x 3x 3x 5x 5

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 2 = 8

Therefore, the value for common factors is 8.

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 = 20603445040800/(2x8)

LCM = 20603445040800/16

LCM = 1287715315050

Thus, we can understand that the LCM of 862,166,334,958,450 is 1287715315050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 166, 334, 958, 450

1. What is the LCM of 862, 166, 334, 958, 450?

Answer: LCM of 862, 166, 334, 958, 450 is 1287715315050.

2. How to calculate the LCM of 862, 166, 334, 958, 450?

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 862, 166, 334, 958, 450.

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}.