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LCM of 147, 668, 440, 176

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


Find the LCM of 147, 668, 440, 176 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 147, 668, 440, 176. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 147,668,440,176

Given numbers are 147,668,440,176

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

The LCM of 147,668,440,176 is 21603120.

Find LCM of 147,668,440,176 with Prime Factorization


2 147, 668, 440, 176
2 147, 334, 220, 88
2 147, 167, 110, 44
11 147, 167, 55, 22
147, 167, 5, 2

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

2 x 2 x 2 x 11 x 147 x 167 x 5 x 2 = 21603120

Therefore, the lowest common multiple of 147,668,440,176 is 21603120.

LCM Formula to Find Lowest Common Multiple of 147,668,440,176

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.

147 x 668 x 440 x 176 = 7604298240

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.

147 : 1, 3, 7, 21, 49, 147

668 : 1, 2, 4, 167, 334, 668

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,668,440,176, is 1.

Now, the common factors can be found like this.

147:3x 7x 7

668:2x 2x 167

440:2x 2x 2x 5x 11

176:2x 2x 2x 2x 11

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 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 7604298240/(1x352)

LCM = 7604298240/352

LCM = 21603120

Thus, we can understand that the LCM of 147,668,440,176 is 21603120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 147, 668, 440, 176

1. What is the LCM of 147, 668, 440, 176?

Answer: LCM of 147, 668, 440, 176 is 21603120.

2. How to calculate the LCM of 147, 668, 440, 176?

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 147, 668, 440, 176.

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}.