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LCM of 948, 460, 215, 892, 450

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


Find the LCM of 948, 460, 215, 892, 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 948, 460, 215, 892, 450. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 948,460,215,892,450

Given numbers are 948,460,215,892,450

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

The LCM of 948,460,215,892,450 is 15680891700.

Find LCM of 948,460,215,892,450 with Prime Factorization


2 948, 460, 215, 892, 450
2 474, 230, 215, 446, 225
3 237, 115, 215, 223, 225
5 79, 115, 215, 223, 75
79, 23, 43, 223, 15

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

2 x 2 x 3 x 5 x 79 x 23 x 43 x 223 x 15 = 15680891700

Therefore, the lowest common multiple of 948,460,215,892,450 is 15680891700.

LCM Formula to Find Lowest Common Multiple of 948,460,215,892,450

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.

948 x 460 x 215 x 892 x 450 = 37634140080000

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

215 : 1, 5, 43, 215

892 : 1, 2, 4, 223, 446, 892

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,460,215,892,450, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

460:2x 2x 5x 23

215:5x 43

892:2x 2x 223

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 2x 2x 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 37634140080000/(1x2400)

LCM = 37634140080000/2400

LCM = 15680891700

Thus, we can understand that the LCM of 948,460,215,892,450 is 15680891700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 948, 460, 215, 892, 450

1. What is the LCM of 948, 460, 215, 892, 450?

Answer: LCM of 948, 460, 215, 892, 450 is 15680891700.

2. How to calculate the LCM of 948, 460, 215, 892, 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 948, 460, 215, 892, 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}.