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LCM of 662, 695, 334, 314

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


Find the LCM of 662, 695, 334, 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 662, 695, 334, 314. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,695,334,314

Given numbers are 662,695,334,314

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

The LCM of 662,695,334,314 is 12063099710.

Find LCM of 662,695,334,314 with Prime Factorization


2 662, 695, 334, 314
331, 695, 167, 157

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

2 x 331 x 695 x 167 x 157 = 12063099710

Therefore, the lowest common multiple of 662,695,334,314 is 12063099710.

LCM Formula to Find Lowest Common Multiple of 662,695,334,314

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.

662 x 695 x 334 x 314 = 48252398840

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.

662 : 1, 2, 331, 662

695 : 1, 5, 139, 695

334 : 1, 2, 167, 334

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,695,334,314, is 1.

Now, the common factors can be found like this.

662:2x 331

695:5x 139

334:2x 167

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 = 48252398840/(1x4)

LCM = 48252398840/4

LCM = 12063099710

Thus, we can understand that the LCM of 662,695,334,314 is 12063099710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 695, 334, 314

1. What is the LCM of 662, 695, 334, 314?

Answer: LCM of 662, 695, 334, 314 is 12063099710.

2. How to calculate the LCM of 662, 695, 334, 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 662, 695, 334, 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}.