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LCM of 294, 493, 685, 301

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


Find the LCM of 294, 493, 685, 301 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 294, 493, 685, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,493,685,301

Given numbers are 294,493,685,301

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

The LCM of 294,493,685,301 is 4269266610.

Find LCM of 294,493,685,301 with Prime Factorization


7 294, 493, 685, 301
42, 493, 685, 43

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

7 x 42 x 493 x 685 x 43 = 4269266610

Therefore, the lowest common multiple of 294,493,685,301 is 4269266610.

LCM Formula to Find Lowest Common Multiple of 294,493,685,301

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.

294 x 493 x 685 x 301 = 29884866270

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

493 : 1, 17, 29, 493

685 : 1, 5, 137, 685

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,493,685,301, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

493:17x 29

685:5x 137

301:7x 43

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

7 = 7

Therefore, the value for common factors is 7.

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 = 29884866270/(1x7)

LCM = 29884866270/7

LCM = 4269266610

Thus, we can understand that the LCM of 294,493,685,301 is 4269266610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 493, 685, 301

1. What is the LCM of 294, 493, 685, 301?

Answer: LCM of 294, 493, 685, 301 is 4269266610.

2. How to calculate the LCM of 294, 493, 685, 301?

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 294, 493, 685, 301.

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}.