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LCM of 956, 446, 488, 347, 206

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


Find the LCM of 956, 446, 488, 347, 206 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 956, 446, 488, 347, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 956,446,488,347,206

Given numbers are 956,446,488,347,206

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

The LCM of 956,446,488,347,206 is 929585381576.

Find LCM of 956,446,488,347,206 with Prime Factorization


2 956, 446, 488, 347, 206
2 478, 223, 244, 347, 103
239, 223, 122, 347, 103

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

2 x 2 x 239 x 223 x 122 x 347 x 103 = 929585381576

Therefore, the lowest common multiple of 956,446,488,347,206 is 929585381576.

LCM Formula to Find Lowest Common Multiple of 956,446,488,347,206

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.

956 x 446 x 488 x 347 x 206 = 14873366105216

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.

956 : 1, 2, 4, 239, 478, 956

446 : 1, 2, 223, 446

488 : 1, 2, 4, 8, 61, 122, 244, 488

347 : 1, 347

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,446,488,347,206, is 1.

Now, the common factors can be found like this.

956:2x 2x 239

446:2x 223

488:2x 2x 2x 61

347:347

206:2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14873366105216/(1x16)

LCM = 14873366105216/16

LCM = 929585381576

Thus, we can understand that the LCM of 956,446,488,347,206 is 929585381576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 956, 446, 488, 347, 206

1. What is the LCM of 956, 446, 488, 347, 206?

Answer: LCM of 956, 446, 488, 347, 206 is 929585381576.

2. How to calculate the LCM of 956, 446, 488, 347, 206?

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 956, 446, 488, 347, 206.

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}.