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LCM of 533, 214, 377, 671, 548

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


Find the LCM of 533, 214, 377, 671, 548 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 533, 214, 377, 671, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,214,377,671,548

Given numbers are 533,214,377,671,548

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

The LCM of 533,214,377,671,548 is 608151893492.

Find LCM of 533,214,377,671,548 with Prime Factorization


2 533, 214, 377, 671, 548
13 533, 107, 377, 671, 274
41, 107, 29, 671, 274

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

2 x 13 x 41 x 107 x 29 x 671 x 274 = 608151893492

Therefore, the lowest common multiple of 533,214,377,671,548 is 608151893492.

LCM Formula to Find Lowest Common Multiple of 533,214,377,671,548

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.

533 x 214 x 377 x 671 x 548 = 15811949230792

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.

533 : 1, 13, 41, 533

214 : 1, 2, 107, 214

377 : 1, 13, 29, 377

671 : 1, 11, 61, 671

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,214,377,671,548, is 1.

Now, the common factors can be found like this.

533:13x 41

214:2x 107

377:13x 29

671:11x 61

548:2x 2x 137

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 15811949230792/(1x26)

LCM = 15811949230792/26

LCM = 608151893492

Thus, we can understand that the LCM of 533,214,377,671,548 is 608151893492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 214, 377, 671, 548

1. What is the LCM of 533, 214, 377, 671, 548?

Answer: LCM of 533, 214, 377, 671, 548 is 608151893492.

2. How to calculate the LCM of 533, 214, 377, 671, 548?

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 533, 214, 377, 671, 548.

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}.