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LCM of 647, 103, 412, 158, 446

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


Find the LCM of 647, 103, 412, 158, 446 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 647, 103, 412, 158, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 647,103,412,158,446

Given numbers are 647,103,412,158,446

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

The LCM of 647,103,412,158,446 is 4696057988.

Find LCM of 647,103,412,158,446 with Prime Factorization


2 647, 103, 412, 158, 446
103 647, 103, 206, 79, 223
647, 1, 2, 79, 223

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

2 x 103 x 647 x 1 x 2 x 79 x 223 = 4696057988

Therefore, the lowest common multiple of 647,103,412,158,446 is 4696057988.

LCM Formula to Find Lowest Common Multiple of 647,103,412,158,446

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.

647 x 103 x 412 x 158 x 446 = 1934775891056

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.

647 : 1, 647

103 : 1, 103

412 : 1, 2, 4, 103, 206, 412

158 : 1, 2, 79, 158

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,103,412,158,446, is 1.

Now, the common factors can be found like this.

647:647

103:103

412:2x 2x 103

158:2x 79

446:2x 223

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 103 = 412

Therefore, the value for common factors is 412.

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 = 1934775891056/(1x412)

LCM = 1934775891056/412

LCM = 4696057988

Thus, we can understand that the LCM of 647,103,412,158,446 is 4696057988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 647, 103, 412, 158, 446

1. What is the LCM of 647, 103, 412, 158, 446?

Answer: LCM of 647, 103, 412, 158, 446 is 4696057988.

2. How to calculate the LCM of 647, 103, 412, 158, 446?

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 647, 103, 412, 158, 446.

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}.