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LCM of 661, 552, 682, 460

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


Find the LCM of 661, 552, 682, 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, 552, 682, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 661,552,682,460

Given numbers are 661,552,682,460

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

The LCM of 661,552,682,460 is 622106760.

Find LCM of 661,552,682,460 with Prime Factorization


2 661, 552, 682, 460
2 661, 276, 341, 230
23 661, 138, 341, 115
661, 6, 341, 5

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

2 x 2 x 23 x 661 x 6 x 341 x 5 = 622106760

Therefore, the lowest common multiple of 661,552,682,460 is 622106760.

LCM Formula to Find Lowest Common Multiple of 661,552,682,460

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 552 x 682 x 460 = 114467643840

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

682 : 1, 2, 11, 22, 31, 62, 341, 682

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 661,552,682,460, is 1.

Now, the common factors can be found like this.

661:661

552:2x 2x 2x 3x 23

682:2x 11x 31

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 23 = 184

Therefore, the value for common factors is 184.

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 = 114467643840/(1x184)

LCM = 114467643840/184

LCM = 622106760

Thus, we can understand that the LCM of 661,552,682,460 is 622106760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 661, 552, 682, 460

1. What is the LCM of 661, 552, 682, 460?

Answer: LCM of 661, 552, 682, 460 is 622106760.

2. How to calculate the LCM of 661, 552, 682, 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, 552, 682, 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}.