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LCM of 236, 217, 385, 242, 763

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


Find the LCM of 236, 217, 385, 242, 763 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 236, 217, 385, 242, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 236,217,385,242,763

Given numbers are 236,217,385,242,763

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

The LCM of 236,217,385,242,763 is 3377175340.

Find LCM of 236,217,385,242,763 with Prime Factorization


2 236, 217, 385, 242, 763
7 118, 217, 385, 121, 763
11 118, 31, 55, 121, 109
118, 31, 5, 11, 109

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

2 x 7 x 11 x 118 x 31 x 5 x 11 x 109 = 3377175340

Therefore, the lowest common multiple of 236,217,385,242,763 is 3377175340.

LCM Formula to Find Lowest Common Multiple of 236,217,385,242,763

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.

236 x 217 x 385 x 242 x 763 = 3640595016520

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.

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

217 : 1, 7, 31, 217

385 : 1, 5, 7, 11, 35, 55, 77, 385

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

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,217,385,242,763, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

217:7x 31

385:5x 7x 11

242:2x 11x 11

763:7x 109

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

2x 7x 7x 11 = 1078

Therefore, the value for common factors is 1078.

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 = 3640595016520/(1x1078)

LCM = 3640595016520/1078

LCM = 3377175340

Thus, we can understand that the LCM of 236,217,385,242,763 is 3377175340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 236, 217, 385, 242, 763

1. What is the LCM of 236, 217, 385, 242, 763?

Answer: LCM of 236, 217, 385, 242, 763 is 3377175340.

2. How to calculate the LCM of 236, 217, 385, 242, 763?

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 236, 217, 385, 242, 763.

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}.