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LCM of 237, 677, 912, 927

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


Find the LCM of 237, 677, 912, 927 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 237, 677, 912, 927. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 237,677,912,927

Given numbers are 237,677,912,927

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

The LCM of 237,677,912,927 is 15071937264.

Find LCM of 237,677,912,927 with Prime Factorization


3 237, 677, 912, 927
79, 677, 304, 309

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

3 x 79 x 677 x 304 x 309 = 15071937264

Therefore, the lowest common multiple of 237,677,912,927 is 15071937264.

LCM Formula to Find Lowest Common Multiple of 237,677,912,927

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.

237 x 677 x 912 x 927 = 135647435376

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.

237 : 1, 3, 79, 237

677 : 1, 677

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

927 : 1, 3, 9, 103, 309, 927

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,677,912,927, is 1.

Now, the common factors can be found like this.

237:3x 79

677:677

912:2x 2x 2x 2x 3x 19

927:3x 3x 103

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 135647435376/(1x9)

LCM = 135647435376/9

LCM = 15071937264

Thus, we can understand that the LCM of 237,677,912,927 is 15071937264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 237, 677, 912, 927

1. What is the LCM of 237, 677, 912, 927?

Answer: LCM of 237, 677, 912, 927 is 15071937264.

2. How to calculate the LCM of 237, 677, 912, 927?

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 237, 677, 912, 927.

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}.