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LCM of 660, 677, 236, 352, 242

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


Find the LCM of 660, 677, 236, 352, 242 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 660, 677, 236, 352, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 660,677,236,352,242

Given numbers are 660,677,236,352,242

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

The LCM of 660,677,236,352,242 is 2319889440.

Find LCM of 660,677,236,352,242 with Prime Factorization


2 660, 677, 236, 352, 242
2 330, 677, 118, 176, 121
11 165, 677, 59, 88, 121
15, 677, 59, 8, 11

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

2 x 2 x 11 x 15 x 677 x 59 x 8 x 11 = 2319889440

Therefore, the lowest common multiple of 660,677,236,352,242 is 2319889440.

LCM Formula to Find Lowest Common Multiple of 660,677,236,352,242

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.

660 x 677 x 236 x 352 x 242 = 8982611911680

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

677 : 1, 677

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,677,236,352,242, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

677:677

236:2x 2x 59

352:2x 2x 2x 2x 2x 11

242:2x 11x 11

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 2x 2x 2x 11x 11 = 3872

Therefore, the value for common factors is 3872.

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 = 8982611911680/(1x3872)

LCM = 8982611911680/3872

LCM = 2319889440

Thus, we can understand that the LCM of 660,677,236,352,242 is 2319889440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 660, 677, 236, 352, 242

1. What is the LCM of 660, 677, 236, 352, 242?

Answer: LCM of 660, 677, 236, 352, 242 is 2319889440.

2. How to calculate the LCM of 660, 677, 236, 352, 242?

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 660, 677, 236, 352, 242.

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}.