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LCM of 641, 731, 172, 295

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


Find the LCM of 641, 731, 172, 295 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 641, 731, 172, 295. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 641,731,172,295

Given numbers are 641,731,172,295

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

The LCM of 641,731,172,295 is 552913780.

Find LCM of 641,731,172,295 with Prime Factorization


43 641, 731, 172, 295
641, 17, 4, 295

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

43 x 641 x 17 x 4 x 295 = 552913780

Therefore, the lowest common multiple of 641,731,172,295 is 552913780.

LCM Formula to Find Lowest Common Multiple of 641,731,172,295

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.

641 x 731 x 172 x 295 = 23775292540

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.

641 : 1, 641

731 : 1, 17, 43, 731

172 : 1, 2, 4, 43, 86, 172

295 : 1, 5, 59, 295

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,731,172,295, is 1.

Now, the common factors can be found like this.

641:641

731:17x 43

172:2x 2x 43

295:5x 59

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

43 = 43

Therefore, the value for common factors is 43.

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 = 23775292540/(1x43)

LCM = 23775292540/43

LCM = 552913780

Thus, we can understand that the LCM of 641,731,172,295 is 552913780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 641, 731, 172, 295

1. What is the LCM of 641, 731, 172, 295?

Answer: LCM of 641, 731, 172, 295 is 552913780.

2. How to calculate the LCM of 641, 731, 172, 295?

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 641, 731, 172, 295.

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}.