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LCM of 672, 336, 563, 394

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


Find the LCM of 672, 336, 563, 394 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 672, 336, 563, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,336,563,394

Given numbers are 672,336,563,394

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

The LCM of 672,336,563,394 is 74532192.

Find LCM of 672,336,563,394 with Prime Factorization


2 672, 336, 563, 394
2 336, 168, 563, 197
2 84, 168, 563, 197
2 42, 84, 563, 197
3 21, 42, 563, 197
7 7, 14, 563, 197
1, 2, 563, 197

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

2 x 2 x 2 x 2 x 3 x 7 x 1 x 2 x 563 x 197 = 74532192

Therefore, the lowest common multiple of 672,336,563,394 is 74532192.

LCM Formula to Find Lowest Common Multiple of 672,336,563,394

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.

672 x 336 x 563 x 394 = 50085633024

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.

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

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

563 : 1, 563

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,336,563,394, is 1.

Now, the common factors can be found like this.

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

336:2x 2x 2x 2x 3x 7

563:563

394:2x 197

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 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 50085633024/(1x672)

LCM = 50085633024/672

LCM = 74532192

Thus, we can understand that the LCM of 672,336,563,394 is 74532192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 336, 563, 394

1. What is the LCM of 672, 336, 563, 394?

Answer: LCM of 672, 336, 563, 394 is 74532192.

2. How to calculate the LCM of 672, 336, 563, 394?

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 672, 336, 563, 394.

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}.