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LCM of 557, 933, 771, 175

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


Find the LCM of 557, 933, 771, 175 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 557, 933, 771, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,933,771,175

Given numbers are 557,933,771,175

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

The LCM of 557,933,771,175 is 23372652975.

Find LCM of 557,933,771,175 with Prime Factorization


3 557, 933, 771, 175
557, 311, 257, 175

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

3 x 557 x 311 x 257 x 175 = 23372652975

Therefore, the lowest common multiple of 557,933,771,175 is 23372652975.

LCM Formula to Find Lowest Common Multiple of 557,933,771,175

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.

557 x 933 x 771 x 175 = 70117958925

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.

557 : 1, 557

933 : 1, 3, 311, 933

771 : 1, 3, 257, 771

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,933,771,175, is 1.

Now, the common factors can be found like this.

557:557

933:3x 311

771:3x 257

175:5x 5x 7

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

3 = 3

Therefore, the value for common factors is 3.

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 = 70117958925/(1x3)

LCM = 70117958925/3

LCM = 23372652975

Thus, we can understand that the LCM of 557,933,771,175 is 23372652975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 933, 771, 175

1. What is the LCM of 557, 933, 771, 175?

Answer: LCM of 557, 933, 771, 175 is 23372652975.

2. How to calculate the LCM of 557, 933, 771, 175?

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 557, 933, 771, 175.

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}.