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LCM of 656, 332, 193, 977

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


Find the LCM of 656, 332, 193, 977 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 656, 332, 193, 977. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 656,332,193,977

Given numbers are 656,332,193,977

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

The LCM of 656,332,193,977 is 10266769328.

Find LCM of 656,332,193,977 with Prime Factorization


2 656, 332, 193, 977
2 328, 166, 193, 977
164, 83, 193, 977

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

2 x 2 x 164 x 83 x 193 x 977 = 10266769328

Therefore, the lowest common multiple of 656,332,193,977 is 10266769328.

LCM Formula to Find Lowest Common Multiple of 656,332,193,977

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.

656 x 332 x 193 x 977 = 41067077312

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.

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

332 : 1, 2, 4, 83, 166, 332

193 : 1, 193

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,332,193,977, is 1.

Now, the common factors can be found like this.

656:2x 2x 2x 2x 41

332:2x 2x 83

193:193

977:977

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 41067077312/(1x4)

LCM = 41067077312/4

LCM = 10266769328

Thus, we can understand that the LCM of 656,332,193,977 is 10266769328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 656, 332, 193, 977

1. What is the LCM of 656, 332, 193, 977?

Answer: LCM of 656, 332, 193, 977 is 10266769328.

2. How to calculate the LCM of 656, 332, 193, 977?

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 656, 332, 193, 977.

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}.