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LCM of 661, 206, 956, 486, 460

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


Find the LCM of 661, 206, 956, 486, 460 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 661, 206, 956, 486, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 661,206,956,486,460

Given numbers are 661,206,956,486,460

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

The LCM of 661,206,956,486,460 is 1818865939860.

Find LCM of 661,206,956,486,460 with Prime Factorization


2 661, 206, 956, 486, 460
2 661, 103, 478, 243, 230
661, 103, 239, 243, 115

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

2 x 2 x 661 x 103 x 239 x 243 x 115 = 1818865939860

Therefore, the lowest common multiple of 661,206,956,486,460 is 1818865939860.

LCM Formula to Find Lowest Common Multiple of 661,206,956,486,460

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.

661 x 206 x 956 x 486 x 460 = 29101855037760

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.

661 : 1, 661

206 : 1, 2, 103, 206

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,206,956,486,460, is 1.

Now, the common factors can be found like this.

661:661

206:2x 103

956:2x 2x 239

486:2x 3x 3x 3x 3x 3

460:2x 2x 5x 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 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 = 29101855037760/(1x16)

LCM = 29101855037760/16

LCM = 1818865939860

Thus, we can understand that the LCM of 661,206,956,486,460 is 1818865939860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 661, 206, 956, 486, 460

1. What is the LCM of 661, 206, 956, 486, 460?

Answer: LCM of 661, 206, 956, 486, 460 is 1818865939860.

2. How to calculate the LCM of 661, 206, 956, 486, 460?

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 661, 206, 956, 486, 460.

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}.