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LCM of 241, 544, 391, 391, 219

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


Find the LCM of 241, 544, 391, 391, 219 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 241, 544, 391, 391, 219. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,544,391,391,219

Given numbers are 241,544,391,391,219

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

The LCM of 241,544,391,391,219 is 660370848.

Find LCM of 241,544,391,391,219 with Prime Factorization


17 241, 544, 391, 391, 219
23 241, 32, 23, 23, 219
241, 32, 1, 1, 219

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

17 x 23 x 241 x 32 x 1 x 1 x 219 = 660370848

Therefore, the lowest common multiple of 241,544,391,391,219 is 660370848.

LCM Formula to Find Lowest Common Multiple of 241,544,391,391,219

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.

241 x 544 x 391 x 391 x 219 = 4389485026656

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.

241 : 1, 241

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

391 : 1, 17, 23, 391

391 : 1, 17, 23, 391

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,544,391,391,219, is 1.

Now, the common factors can be found like this.

241:241

544:2x 2x 2x 2x 2x 17

391:17x 23

391:17x 23

219:3x 73

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

17x 17x 23 = 6647

Therefore, the value for common factors is 6647.

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 = 4389485026656/(1x6647)

LCM = 4389485026656/6647

LCM = 660370848

Thus, we can understand that the LCM of 241,544,391,391,219 is 660370848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 544, 391, 391, 219

1. What is the LCM of 241, 544, 391, 391, 219?

Answer: LCM of 241, 544, 391, 391, 219 is 660370848.

2. How to calculate the LCM of 241, 544, 391, 391, 219?

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 241, 544, 391, 391, 219.

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}.