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LCM of 308, 370, 206, 407

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


Find the LCM of 308, 370, 206, 407 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 308, 370, 206, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,370,206,407

Given numbers are 308,370,206,407

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

The LCM of 308,370,206,407 is 5868940.

Find LCM of 308,370,206,407 with Prime Factorization


2 308, 370, 206, 407
11 154, 185, 103, 407
37 14, 185, 103, 37
14, 5, 103, 1

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

2 x 11 x 37 x 14 x 5 x 103 x 1 = 5868940

Therefore, the lowest common multiple of 308,370,206,407 is 5868940.

LCM Formula to Find Lowest Common Multiple of 308,370,206,407

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.

308 x 370 x 206 x 407 = 9554634320

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

370 : 1, 2, 5, 10, 37, 74, 185, 370

206 : 1, 2, 103, 206

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,370,206,407, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

370:2x 5x 37

206:2x 103

407:11x 37

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 11x 37 = 1628

Therefore, the value for common factors is 1628.

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 = 9554634320/(1x1628)

LCM = 9554634320/1628

LCM = 5868940

Thus, we can understand that the LCM of 308,370,206,407 is 5868940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 370, 206, 407

1. What is the LCM of 308, 370, 206, 407?

Answer: LCM of 308, 370, 206, 407 is 5868940.

2. How to calculate the LCM of 308, 370, 206, 407?

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 308, 370, 206, 407.

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}.