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LCM of 236, 885, 303, 677

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


Find the LCM of 236, 885, 303, 677 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, 885, 303, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 236,885,303,677

Given numbers are 236,885,303,677

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

The LCM of 236,885,303,677 is 242054580.

Find LCM of 236,885,303,677 with Prime Factorization


3 236, 885, 303, 677
59 236, 295, 101, 677
4, 5, 101, 677

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

3 x 59 x 4 x 5 x 101 x 677 = 242054580

Therefore, the lowest common multiple of 236,885,303,677 is 242054580.

LCM Formula to Find Lowest Common Multiple of 236,885,303,677

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 885 x 303 x 677 = 42843660660

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

885 : 1, 3, 5, 15, 59, 177, 295, 885

303 : 1, 3, 101, 303

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,885,303,677, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

885:3x 5x 59

303:3x 101

677:677

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

3x 59 = 177

Therefore, the value for common factors is 177.

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 = 42843660660/(1x177)

LCM = 42843660660/177

LCM = 242054580

Thus, we can understand that the LCM of 236,885,303,677 is 242054580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 236, 885, 303, 677

1. What is the LCM of 236, 885, 303, 677?

Answer: LCM of 236, 885, 303, 677 is 242054580.

2. How to calculate the LCM of 236, 885, 303, 677?

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, 885, 303, 677.

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}.