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LCM of 234, 391, 209, 901, 562

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


Find the LCM of 234, 391, 209, 901, 562 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 234, 391, 209, 901, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,391,209,901,562

Given numbers are 234,391,209,901,562

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

The LCM of 234,391,209,901,562 is 284787609678.

Find LCM of 234,391,209,901,562 with Prime Factorization


2 234, 391, 209, 901, 562
17 117, 391, 209, 901, 281
117, 23, 209, 53, 281

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

2 x 17 x 117 x 23 x 209 x 53 x 281 = 284787609678

Therefore, the lowest common multiple of 234,391,209,901,562 is 284787609678.

LCM Formula to Find Lowest Common Multiple of 234,391,209,901,562

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.

234 x 391 x 209 x 901 x 562 = 9682778729052

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

391 : 1, 17, 23, 391

209 : 1, 11, 19, 209

901 : 1, 17, 53, 901

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,391,209,901,562, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

391:17x 23

209:11x 19

901:17x 53

562:2x 281

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 9682778729052/(1x34)

LCM = 9682778729052/34

LCM = 284787609678

Thus, we can understand that the LCM of 234,391,209,901,562 is 284787609678.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 391, 209, 901, 562

1. What is the LCM of 234, 391, 209, 901, 562?

Answer: LCM of 234, 391, 209, 901, 562 is 284787609678.

2. How to calculate the LCM of 234, 391, 209, 901, 562?

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 234, 391, 209, 901, 562.

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}.