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LCM of 492, 848, 217, 255, 362

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


Find the LCM of 492, 848, 217, 255, 362 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 492, 848, 217, 255, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 492,848,217,255,362

Given numbers are 492,848,217,255,362

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

The LCM of 492,848,217,255,362 is 348223597680.

Find LCM of 492,848,217,255,362 with Prime Factorization


2 492, 848, 217, 255, 362
2 246, 424, 217, 255, 181
3 123, 212, 217, 255, 181
41, 212, 217, 85, 181

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

2 x 2 x 3 x 41 x 212 x 217 x 85 x 181 = 348223597680

Therefore, the lowest common multiple of 492,848,217,255,362 is 348223597680.

LCM Formula to Find Lowest Common Multiple of 492,848,217,255,362

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.

492 x 848 x 217 x 255 x 362 = 8357366344320

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.

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

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

217 : 1, 7, 31, 217

255 : 1, 3, 5, 15, 17, 51, 85, 255

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,848,217,255,362, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

848:2x 2x 2x 2x 53

217:7x 31

255:3x 5x 17

362:2x 181

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8357366344320/(1x24)

LCM = 8357366344320/24

LCM = 348223597680

Thus, we can understand that the LCM of 492,848,217,255,362 is 348223597680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 492, 848, 217, 255, 362

1. What is the LCM of 492, 848, 217, 255, 362?

Answer: LCM of 492, 848, 217, 255, 362 is 348223597680.

2. How to calculate the LCM of 492, 848, 217, 255, 362?

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 492, 848, 217, 255, 362.

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}.