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LCM of 222, 671, 236, 689, 222

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


Find the LCM of 222, 671, 236, 689, 222 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 222, 671, 236, 689, 222. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,671,236,689,222

Given numbers are 222,671,236,689,222

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

The LCM of 222,671,236,689,222 is 12110908524.

Find LCM of 222,671,236,689,222 with Prime Factorization


2 222, 671, 236, 689, 222
3 111, 671, 118, 689, 111
37 37, 671, 118, 689, 37
1, 671, 118, 689, 1

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

2 x 3 x 37 x 1 x 671 x 118 x 689 x 1 = 12110908524

Therefore, the lowest common multiple of 222,671,236,689,222 is 12110908524.

LCM Formula to Find Lowest Common Multiple of 222,671,236,689,222

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.

222 x 671 x 236 x 689 x 222 = 5377243384656

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.

222 : 1, 2, 3, 6, 37, 74, 111, 222

671 : 1, 11, 61, 671

236 : 1, 2, 4, 59, 118, 236

689 : 1, 13, 53, 689

222 : 1, 2, 3, 6, 37, 74, 111, 222

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,671,236,689,222, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

671:11x 61

236:2x 2x 59

689:13x 53

222:2x 3x 37

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

2x 2x 3x 37 = 444

Therefore, the value for common factors is 444.

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 = 5377243384656/(1x444)

LCM = 5377243384656/444

LCM = 12110908524

Thus, we can understand that the LCM of 222,671,236,689,222 is 12110908524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 671, 236, 689, 222

1. What is the LCM of 222, 671, 236, 689, 222?

Answer: LCM of 222, 671, 236, 689, 222 is 12110908524.

2. How to calculate the LCM of 222, 671, 236, 689, 222?

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 222, 671, 236, 689, 222.

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}.