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LCM of 932, 345, 274, 655, 313

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


Find the LCM of 932, 345, 274, 655, 313 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 932, 345, 274, 655, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,345,274,655,313

Given numbers are 932,345,274,655,313

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

The LCM of 932,345,274,655,313 is 1806222332940.

Find LCM of 932,345,274,655,313 with Prime Factorization


2 932, 345, 274, 655, 313
5 466, 345, 137, 655, 313
466, 69, 137, 131, 313

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

2 x 5 x 466 x 69 x 137 x 131 x 313 = 1806222332940

Therefore, the lowest common multiple of 932,345,274,655,313 is 1806222332940.

LCM Formula to Find Lowest Common Multiple of 932,345,274,655,313

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.

932 x 345 x 274 x 655 x 313 = 18062223329400

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.

932 : 1, 2, 4, 233, 466, 932

345 : 1, 3, 5, 15, 23, 69, 115, 345

274 : 1, 2, 137, 274

655 : 1, 5, 131, 655

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,345,274,655,313, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

345:3x 5x 23

274:2x 137

655:5x 131

313:313

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 18062223329400/(1x10)

LCM = 18062223329400/10

LCM = 1806222332940

Thus, we can understand that the LCM of 932,345,274,655,313 is 1806222332940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 345, 274, 655, 313

1. What is the LCM of 932, 345, 274, 655, 313?

Answer: LCM of 932, 345, 274, 655, 313 is 1806222332940.

2. How to calculate the LCM of 932, 345, 274, 655, 313?

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 932, 345, 274, 655, 313.

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}.