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LCM of 205, 739, 533, 753

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


Find the LCM of 205, 739, 533, 753 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 205, 739, 533, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 205,739,533,753

Given numbers are 205,739,533,753

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

The LCM of 205,739,533,753 is 1482984555.

Find LCM of 205,739,533,753 with Prime Factorization


41 205, 739, 533, 753
5, 739, 13, 753

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

41 x 5 x 739 x 13 x 753 = 1482984555

Therefore, the lowest common multiple of 205,739,533,753 is 1482984555.

LCM Formula to Find Lowest Common Multiple of 205,739,533,753

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.

205 x 739 x 533 x 753 = 60802366755

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.

205 : 1, 5, 41, 205

739 : 1, 739

533 : 1, 13, 41, 533

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,739,533,753, is 1.

Now, the common factors can be found like this.

205:5x 41

739:739

533:13x 41

753:3x 251

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

41 = 41

Therefore, the value for common factors is 41.

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 = 60802366755/(1x41)

LCM = 60802366755/41

LCM = 1482984555

Thus, we can understand that the LCM of 205,739,533,753 is 1482984555.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 205, 739, 533, 753

1. What is the LCM of 205, 739, 533, 753?

Answer: LCM of 205, 739, 533, 753 is 1482984555.

2. How to calculate the LCM of 205, 739, 533, 753?

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 205, 739, 533, 753.

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}.