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LCM of 391, 757, 598, 743, 247

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


Find the LCM of 391, 757, 598, 743, 247 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 391, 757, 598, 743, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,757,598,743,247

Given numbers are 391,757,598,743,247

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

The LCM of 391,757,598,743,247 is 108639660454.

Find LCM of 391,757,598,743,247 with Prime Factorization


13 391, 757, 598, 743, 247
23 391, 757, 46, 743, 19
17, 757, 2, 743, 19

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

13 x 23 x 17 x 757 x 2 x 743 x 19 = 108639660454

Therefore, the lowest common multiple of 391,757,598,743,247 is 108639660454.

LCM Formula to Find Lowest Common Multiple of 391,757,598,743,247

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.

391 x 757 x 598 x 743 x 247 = 32483258475746

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.

391 : 1, 17, 23, 391

757 : 1, 757

598 : 1, 2, 13, 23, 26, 46, 299, 598

743 : 1, 743

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,757,598,743,247, is 1.

Now, the common factors can be found like this.

391:17x 23

757:757

598:2x 13x 23

743:743

247:13x 19

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

13x 23 = 299

Therefore, the value for common factors is 299.

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 = 32483258475746/(1x299)

LCM = 32483258475746/299

LCM = 108639660454

Thus, we can understand that the LCM of 391,757,598,743,247 is 108639660454.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 757, 598, 743, 247

1. What is the LCM of 391, 757, 598, 743, 247?

Answer: LCM of 391, 757, 598, 743, 247 is 108639660454.

2. How to calculate the LCM of 391, 757, 598, 743, 247?

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 391, 757, 598, 743, 247.

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}.