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LCM of 482, 106, 708, 336, 276

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


Find the LCM of 482, 106, 708, 336, 276 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 482, 106, 708, 336, 276. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 482,106,708,336,276

Given numbers are 482,106,708,336,276

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

The LCM of 482,106,708,336,276 is 5823874896.

Find LCM of 482,106,708,336,276 with Prime Factorization


2 482, 106, 708, 336, 276
2 241, 53, 354, 168, 138
3 241, 53, 177, 84, 69
241, 53, 59, 28, 23

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

2 x 2 x 3 x 241 x 53 x 59 x 28 x 23 = 5823874896

Therefore, the lowest common multiple of 482,106,708,336,276 is 5823874896.

LCM Formula to Find Lowest Common Multiple of 482,106,708,336,276

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.

482 x 106 x 708 x 336 x 276 = 3354551940096

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.

482 : 1, 2, 241, 482

106 : 1, 2, 53, 106

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,106,708,336,276, is 2.

Now, the common factors can be found like this.

482:2x 241

106:2x 53

708:2x 2x 3x 59

336:2x 2x 2x 2x 3x 7

276:2x 2x 3x 23

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 3 = 288

Therefore, the value for common factors is 288.

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 = 3354551940096/(2x288)

LCM = 3354551940096/576

LCM = 5823874896

Thus, we can understand that the LCM of 482,106,708,336,276 is 5823874896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 482, 106, 708, 336, 276

1. What is the LCM of 482, 106, 708, 336, 276?

Answer: LCM of 482, 106, 708, 336, 276 is 5823874896.

2. How to calculate the LCM of 482, 106, 708, 336, 276?

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 482, 106, 708, 336, 276.

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}.