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LCM of 253, 655, 208, 206

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


Find the LCM of 253, 655, 208, 206 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 253, 655, 208, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,655,208,206

Given numbers are 253,655,208,206

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

The LCM of 253,655,208,206 is 3550278160.

Find LCM of 253,655,208,206 with Prime Factorization


2 253, 655, 208, 206
253, 655, 104, 103

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

2 x 253 x 655 x 104 x 103 = 3550278160

Therefore, the lowest common multiple of 253,655,208,206 is 3550278160.

LCM Formula to Find Lowest Common Multiple of 253,655,208,206

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.

253 x 655 x 208 x 206 = 7100556320

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.

253 : 1, 11, 23, 253

655 : 1, 5, 131, 655

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,655,208,206, is 1.

Now, the common factors can be found like this.

253:11x 23

655:5x 131

208:2x 2x 2x 2x 13

206:2x 103

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

2 = 2

Therefore, the value for common factors is 2.

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 = 7100556320/(1x2)

LCM = 7100556320/2

LCM = 3550278160

Thus, we can understand that the LCM of 253,655,208,206 is 3550278160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 655, 208, 206

1. What is the LCM of 253, 655, 208, 206?

Answer: LCM of 253, 655, 208, 206 is 3550278160.

2. How to calculate the LCM of 253, 655, 208, 206?

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 253, 655, 208, 206.

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}.