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LCM of 604, 914, 278, 353

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


Find the LCM of 604, 914, 278, 353 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 604, 914, 278, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,914,278,353

Given numbers are 604,914,278,353

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

The LCM of 604,914,278,353 is 13543865876.

Find LCM of 604,914,278,353 with Prime Factorization


2 604, 914, 278, 353
302, 457, 139, 353

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

2 x 302 x 457 x 139 x 353 = 13543865876

Therefore, the lowest common multiple of 604,914,278,353 is 13543865876.

LCM Formula to Find Lowest Common Multiple of 604,914,278,353

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.

604 x 914 x 278 x 353 = 54175463504

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.

604 : 1, 2, 4, 151, 302, 604

914 : 1, 2, 457, 914

278 : 1, 2, 139, 278

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,914,278,353, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

914:2x 457

278:2x 139

353:353

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 = 54175463504/(1x4)

LCM = 54175463504/4

LCM = 13543865876

Thus, we can understand that the LCM of 604,914,278,353 is 13543865876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 914, 278, 353

1. What is the LCM of 604, 914, 278, 353?

Answer: LCM of 604, 914, 278, 353 is 13543865876.

2. How to calculate the LCM of 604, 914, 278, 353?

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 604, 914, 278, 353.

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}.