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LCM of 329, 614, 916, 761, 597

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


Find the LCM of 329, 614, 916, 761, 597 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 329, 614, 916, 761, 597. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 329,614,916,761,597

Given numbers are 329,614,916,761,597

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

The LCM of 329,614,916,761,597 is 42032840035116.

Find LCM of 329,614,916,761,597 with Prime Factorization


2 329, 614, 916, 761, 597
329, 307, 458, 761, 597

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

2 x 329 x 307 x 458 x 761 x 597 = 42032840035116

Therefore, the lowest common multiple of 329,614,916,761,597 is 42032840035116.

LCM Formula to Find Lowest Common Multiple of 329,614,916,761,597

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.

329 x 614 x 916 x 761 x 597 = 84065680070232

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.

329 : 1, 7, 47, 329

614 : 1, 2, 307, 614

916 : 1, 2, 4, 229, 458, 916

761 : 1, 761

597 : 1, 3, 199, 597

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,614,916,761,597, is 1.

Now, the common factors can be found like this.

329:7x 47

614:2x 307

916:2x 2x 229

761:761

597:3x 199

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

2 = 2

Therefore, the value for common factors is 2.

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 = 84065680070232/(1x2)

LCM = 84065680070232/2

LCM = 42032840035116

Thus, we can understand that the LCM of 329,614,916,761,597 is 42032840035116.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 329, 614, 916, 761, 597

1. What is the LCM of 329, 614, 916, 761, 597?

Answer: LCM of 329, 614, 916, 761, 597 is 42032840035116.

2. How to calculate the LCM of 329, 614, 916, 761, 597?

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 329, 614, 916, 761, 597.

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}.