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LCM of 447, 272, 167, 658, 107

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


Find the LCM of 447, 272, 167, 658, 107 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 447, 272, 167, 658, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,272,167,658,107

Given numbers are 447,272,167,658,107

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

The LCM of 447,272,167,658,107 is 714780299184.

Find LCM of 447,272,167,658,107 with Prime Factorization


2 447, 272, 167, 658, 107
447, 136, 167, 329, 107

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

2 x 447 x 136 x 167 x 329 x 107 = 714780299184

Therefore, the lowest common multiple of 447,272,167,658,107 is 714780299184.

LCM Formula to Find Lowest Common Multiple of 447,272,167,658,107

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.

447 x 272 x 167 x 658 x 107 = 1429560598368

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.

447 : 1, 3, 149, 447

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

167 : 1, 167

658 : 1, 2, 7, 14, 47, 94, 329, 658

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,272,167,658,107, is 1.

Now, the common factors can be found like this.

447:3x 149

272:2x 2x 2x 2x 17

167:167

658:2x 7x 47

107:107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1429560598368/(1x2)

LCM = 1429560598368/2

LCM = 714780299184

Thus, we can understand that the LCM of 447,272,167,658,107 is 714780299184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 447, 272, 167, 658, 107

1. What is the LCM of 447, 272, 167, 658, 107?

Answer: LCM of 447, 272, 167, 658, 107 is 714780299184.

2. How to calculate the LCM of 447, 272, 167, 658, 107?

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 447, 272, 167, 658, 107.

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}.