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LCM of 565, 672, 144, 287

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


Find the LCM of 565, 672, 144, 287 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 565, 672, 144, 287. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,672,144,287

Given numbers are 565,672,144,287

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

The LCM of 565,672,144,287 is 46700640.

Find LCM of 565,672,144,287 with Prime Factorization


2 565, 672, 144, 287
2 565, 336, 72, 287
2 565, 168, 36, 287
2 565, 84, 18, 287
3 565, 42, 9, 287
7 565, 14, 3, 287
565, 2, 3, 41

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

2 x 2 x 2 x 2 x 3 x 7 x 565 x 2 x 3 x 41 = 46700640

Therefore, the lowest common multiple of 565,672,144,287 is 46700640.

LCM Formula to Find Lowest Common Multiple of 565,672,144,287

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.

565 x 672 x 144 x 287 = 15691415040

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.

565 : 1, 5, 113, 565

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,672,144,287, is 1.

Now, the common factors can be found like this.

565:5x 113

672:2x 2x 2x 2x 2x 3x 7

144:2x 2x 2x 2x 3x 3

287:7x 41

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 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 15691415040/(1x336)

LCM = 15691415040/336

LCM = 46700640

Thus, we can understand that the LCM of 565,672,144,287 is 46700640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 672, 144, 287

1. What is the LCM of 565, 672, 144, 287?

Answer: LCM of 565, 672, 144, 287 is 46700640.

2. How to calculate the LCM of 565, 672, 144, 287?

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 565, 672, 144, 287.

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}.