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LCM of 232, 492, 217, 369, 875

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


Find the LCM of 232, 492, 217, 369, 875 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 232, 492, 217, 369, 875. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,492,217,369,875

Given numbers are 232,492,217,369,875

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

The LCM of 232,492,217,369,875 is 2322117000.

Find LCM of 232,492,217,369,875 with Prime Factorization


2 232, 492, 217, 369, 875
2 116, 246, 217, 369, 875
3 58, 123, 217, 369, 875
7 58, 41, 217, 123, 875
41 58, 41, 31, 123, 125
58, 1, 31, 3, 125

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

2 x 2 x 3 x 7 x 41 x 58 x 1 x 31 x 3 x 125 = 2322117000

Therefore, the lowest common multiple of 232,492,217,369,875 is 2322117000.

LCM Formula to Find Lowest Common Multiple of 232,492,217,369,875

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.

232 x 492 x 217 x 369 x 875 = 7997370948000

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.

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

217 : 1, 7, 31, 217

369 : 1, 3, 9, 41, 123, 369

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,492,217,369,875, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

492:2x 2x 3x 41

217:7x 31

369:3x 3x 41

875:5x 5x 5x 7

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 3x 7x 41 = 3444

Therefore, the value for common factors is 3444.

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 = 7997370948000/(1x3444)

LCM = 7997370948000/3444

LCM = 2322117000

Thus, we can understand that the LCM of 232,492,217,369,875 is 2322117000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 492, 217, 369, 875

1. What is the LCM of 232, 492, 217, 369, 875?

Answer: LCM of 232, 492, 217, 369, 875 is 2322117000.

2. How to calculate the LCM of 232, 492, 217, 369, 875?

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 232, 492, 217, 369, 875.

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}.