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LCM of 253, 670, 696, 308, 203

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


Find the LCM of 253, 670, 696, 308, 203 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, 670, 696, 308, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,670,696,308,203

Given numbers are 253,670,696,308,203

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

The LCM of 253,670,696,308,203 is 412926360.

Find LCM of 253,670,696,308,203 with Prime Factorization


2 253, 670, 696, 308, 203
2 253, 335, 348, 154, 203
7 253, 335, 174, 77, 203
11 253, 335, 174, 11, 29
29 23, 335, 174, 1, 29
23, 335, 6, 1, 1

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

2 x 2 x 7 x 11 x 29 x 23 x 335 x 6 x 1 x 1 = 412926360

Therefore, the lowest common multiple of 253,670,696,308,203 is 412926360.

LCM Formula to Find Lowest Common Multiple of 253,670,696,308,203

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 670 x 696 x 308 x 203 = 7376516495040

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,670,696,308,203, is 1.

Now, the common factors can be found like this.

253:11x 23

670:2x 5x 67

696:2x 2x 2x 3x 29

308:2x 2x 7x 11

203:7x 29

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 7x 11x 29 = 17864

Therefore, the value for common factors is 17864.

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 = 7376516495040/(1x17864)

LCM = 7376516495040/17864

LCM = 412926360

Thus, we can understand that the LCM of 253,670,696,308,203 is 412926360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 670, 696, 308, 203

1. What is the LCM of 253, 670, 696, 308, 203?

Answer: LCM of 253, 670, 696, 308, 203 is 412926360.

2. How to calculate the LCM of 253, 670, 696, 308, 203?

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, 670, 696, 308, 203.

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}.