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LCM of 176, 604, 533, 628, 155

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


Find the LCM of 176, 604, 533, 628, 155 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 176, 604, 533, 628, 155. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 176,604,533,628,155

Given numbers are 176,604,533,628,155

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

The LCM of 176,604,533,628,155 is 344705469680.

Find LCM of 176,604,533,628,155 with Prime Factorization


2 176, 604, 533, 628, 155
2 88, 302, 533, 314, 155
44, 151, 533, 157, 155

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

2 x 2 x 44 x 151 x 533 x 157 x 155 = 344705469680

Therefore, the lowest common multiple of 176,604,533,628,155 is 344705469680.

LCM Formula to Find Lowest Common Multiple of 176,604,533,628,155

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.

176 x 604 x 533 x 628 x 155 = 5515287514880

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.

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

604 : 1, 2, 4, 151, 302, 604

533 : 1, 13, 41, 533

628 : 1, 2, 4, 157, 314, 628

155 : 1, 5, 31, 155

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,604,533,628,155, is 1.

Now, the common factors can be found like this.

176:2x 2x 2x 2x 11

604:2x 2x 151

533:13x 41

628:2x 2x 157

155:5x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 5515287514880/(1x16)

LCM = 5515287514880/16

LCM = 344705469680

Thus, we can understand that the LCM of 176,604,533,628,155 is 344705469680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 176, 604, 533, 628, 155

1. What is the LCM of 176, 604, 533, 628, 155?

Answer: LCM of 176, 604, 533, 628, 155 is 344705469680.

2. How to calculate the LCM of 176, 604, 533, 628, 155?

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 176, 604, 533, 628, 155.

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}.