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LCM of 251, 452, 698, 355

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


Find the LCM of 251, 452, 698, 355 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 251, 452, 698, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,452,698,355

Given numbers are 251,452,698,355

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

The LCM of 251,452,698,355 is 14056135540.

Find LCM of 251,452,698,355 with Prime Factorization


2 251, 452, 698, 355
251, 226, 349, 355

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

2 x 251 x 226 x 349 x 355 = 14056135540

Therefore, the lowest common multiple of 251,452,698,355 is 14056135540.

LCM Formula to Find Lowest Common Multiple of 251,452,698,355

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.

251 x 452 x 698 x 355 = 28112271080

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.

251 : 1, 251

452 : 1, 2, 4, 113, 226, 452

698 : 1, 2, 349, 698

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,452,698,355, is 1.

Now, the common factors can be found like this.

251:251

452:2x 2x 113

698:2x 349

355:5x 71

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 = 28112271080/(1x2)

LCM = 28112271080/2

LCM = 14056135540

Thus, we can understand that the LCM of 251,452,698,355 is 14056135540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 452, 698, 355

1. What is the LCM of 251, 452, 698, 355?

Answer: LCM of 251, 452, 698, 355 is 14056135540.

2. How to calculate the LCM of 251, 452, 698, 355?

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 251, 452, 698, 355.

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}.