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LCM of 520, 214, 176, 356, 671

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


Find the LCM of 520, 214, 176, 356, 671 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 520, 214, 176, 356, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,214,176,356,671

Given numbers are 520,214,176,356,671

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

The LCM of 520,214,176,356,671 is 6645530320.

Find LCM of 520,214,176,356,671 with Prime Factorization


2 520, 214, 176, 356, 671
2 260, 107, 88, 178, 671
2 130, 107, 44, 89, 671
11 65, 107, 22, 89, 671
65, 107, 2, 89, 61

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

2 x 2 x 2 x 11 x 65 x 107 x 2 x 89 x 61 = 6645530320

Therefore, the lowest common multiple of 520,214,176,356,671 is 6645530320.

LCM Formula to Find Lowest Common Multiple of 520,214,176,356,671

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.

520 x 214 x 176 x 356 x 671 = 4678453345280

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

214 : 1, 2, 107, 214

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

356 : 1, 2, 4, 89, 178, 356

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,214,176,356,671, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

214:2x 107

176:2x 2x 2x 2x 11

356:2x 2x 89

671:11x 61

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 2x 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 4678453345280/(1x704)

LCM = 4678453345280/704

LCM = 6645530320

Thus, we can understand that the LCM of 520,214,176,356,671 is 6645530320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 214, 176, 356, 671

1. What is the LCM of 520, 214, 176, 356, 671?

Answer: LCM of 520, 214, 176, 356, 671 is 6645530320.

2. How to calculate the LCM of 520, 214, 176, 356, 671?

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 520, 214, 176, 356, 671.

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}.