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LCM of 329, 757, 946, 334

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


Find the LCM of 329, 757, 946, 334 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, 757, 946, 334. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 329,757,946,334

Given numbers are 329,757,946,334

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

The LCM of 329,757,946,334 is 39345891046.

Find LCM of 329,757,946,334 with Prime Factorization


2 329, 757, 946, 334
329, 757, 473, 167

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

2 x 329 x 757 x 473 x 167 = 39345891046

Therefore, the lowest common multiple of 329,757,946,334 is 39345891046.

LCM Formula to Find Lowest Common Multiple of 329,757,946,334

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 757 x 946 x 334 = 78691782092

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

757 : 1, 757

946 : 1, 2, 11, 22, 43, 86, 473, 946

334 : 1, 2, 167, 334

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,757,946,334, is 1.

Now, the common factors can be found like this.

329:7x 47

757:757

946:2x 11x 43

334:2x 167

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 = 78691782092/(1x2)

LCM = 78691782092/2

LCM = 39345891046

Thus, we can understand that the LCM of 329,757,946,334 is 39345891046.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 329, 757, 946, 334

1. What is the LCM of 329, 757, 946, 334?

Answer: LCM of 329, 757, 946, 334 is 39345891046.

2. How to calculate the LCM of 329, 757, 946, 334?

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, 757, 946, 334.

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}.