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LCM of 533, 533, 177, 949

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


Find the LCM of 533, 533, 177, 949 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, 533, 177, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,533,177,949

Given numbers are 533,533,177,949

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

The LCM of 533,533,177,949 is 6886893.

Find LCM of 533,533,177,949 with Prime Factorization


13 533, 533, 177, 949
41 41, 41, 177, 73
1, 1, 177, 73

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

13 x 41 x 1 x 1 x 177 x 73 = 6886893

Therefore, the lowest common multiple of 533,533,177,949 is 6886893.

LCM Formula to Find Lowest Common Multiple of 533,533,177,949

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 533 x 177 x 949 = 47719281597

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

533 : 1, 13, 41, 533

177 : 1, 3, 59, 177

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,533,177,949, is 1.

Now, the common factors can be found like this.

533:13x 41

533:13x 41

177:3x 59

949:13x 73

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

13x 13x 41 = 6929

Therefore, the value for common factors is 6929.

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 = 47719281597/(1x6929)

LCM = 47719281597/6929

LCM = 6886893

Thus, we can understand that the LCM of 533,533,177,949 is 6886893.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 533, 177, 949

1. What is the LCM of 533, 533, 177, 949?

Answer: LCM of 533, 533, 177, 949 is 6886893.

2. How to calculate the LCM of 533, 533, 177, 949?

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, 533, 177, 949.

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}.