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LCM of 672, 361, 442, 314

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


Find the LCM of 672, 361, 442, 314 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, 361, 442, 314. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,361,442,314

Given numbers are 672,361,442,314

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

The LCM of 672,361,442,314 is 8417214624.

Find LCM of 672,361,442,314 with Prime Factorization


2 672, 361, 442, 314
336, 361, 221, 157

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

2 x 336 x 361 x 221 x 157 = 8417214624

Therefore, the lowest common multiple of 672,361,442,314 is 8417214624.

LCM Formula to Find Lowest Common Multiple of 672,361,442,314

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 361 x 442 x 314 = 33668858496

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

361 : 1, 19, 361

442 : 1, 2, 13, 17, 26, 34, 221, 442

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,361,442,314, is 1.

Now, the common factors can be found like this.

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

361:19x 19

442:2x 13x 17

314:2x 157

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 33668858496/(1x4)

LCM = 33668858496/4

LCM = 8417214624

Thus, we can understand that the LCM of 672,361,442,314 is 8417214624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 361, 442, 314

1. What is the LCM of 672, 361, 442, 314?

Answer: LCM of 672, 361, 442, 314 is 8417214624.

2. How to calculate the LCM of 672, 361, 442, 314?

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, 361, 442, 314.

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}.