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LCM of 647, 418, 472, 177

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


Find the LCM of 647, 418, 472, 177 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 647, 418, 472, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 647,418,472,177

Given numbers are 647,418,472,177

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

The LCM of 647,418,472,177 is 191475768.

Find LCM of 647,418,472,177 with Prime Factorization


2 647, 418, 472, 177
59 647, 209, 236, 177
647, 209, 4, 3

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

2 x 59 x 647 x 209 x 4 x 3 = 191475768

Therefore, the lowest common multiple of 647,418,472,177 is 191475768.

LCM Formula to Find Lowest Common Multiple of 647,418,472,177

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.

647 x 418 x 472 x 177 = 22594140624

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.

647 : 1, 647

418 : 1, 2, 11, 19, 22, 38, 209, 418

472 : 1, 2, 4, 8, 59, 118, 236, 472

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,418,472,177, is 1.

Now, the common factors can be found like this.

647:647

418:2x 11x 19

472:2x 2x 2x 59

177:3x 59

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 22594140624/(1x118)

LCM = 22594140624/118

LCM = 191475768

Thus, we can understand that the LCM of 647,418,472,177 is 191475768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 647, 418, 472, 177

1. What is the LCM of 647, 418, 472, 177?

Answer: LCM of 647, 418, 472, 177 is 191475768.

2. How to calculate the LCM of 647, 418, 472, 177?

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 647, 418, 472, 177.

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}.