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LCM of 747, 358, 423, 764, 332

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


Find the LCM of 747, 358, 423, 764, 332 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 747, 358, 423, 764, 332. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,358,423,764,332

Given numbers are 747,358,423,764,332

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

The LCM of 747,358,423,764,332 is 4801366404.

Find LCM of 747,358,423,764,332 with Prime Factorization


2 747, 358, 423, 764, 332
2 747, 179, 423, 382, 166
3 747, 179, 423, 191, 83
3 249, 179, 141, 191, 83
83 83, 179, 47, 191, 83
1, 179, 47, 191, 1

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

2 x 2 x 3 x 3 x 83 x 1 x 179 x 47 x 191 x 1 = 4801366404

Therefore, the lowest common multiple of 747,358,423,764,332 is 4801366404.

LCM Formula to Find Lowest Common Multiple of 747,358,423,764,332

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.

747 x 358 x 423 x 764 x 332 = 28692965630304

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.

747 : 1, 3, 9, 83, 249, 747

358 : 1, 2, 179, 358

423 : 1, 3, 9, 47, 141, 423

764 : 1, 2, 4, 191, 382, 764

332 : 1, 2, 4, 83, 166, 332

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,358,423,764,332, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

358:2x 179

423:3x 3x 47

764:2x 2x 191

332:2x 2x 83

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

2x 2x 2x 3x 3x 83 = 5976

Therefore, the value for common factors is 5976.

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 = 28692965630304/(1x5976)

LCM = 28692965630304/5976

LCM = 4801366404

Thus, we can understand that the LCM of 747,358,423,764,332 is 4801366404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 358, 423, 764, 332

1. What is the LCM of 747, 358, 423, 764, 332?

Answer: LCM of 747, 358, 423, 764, 332 is 4801366404.

2. How to calculate the LCM of 747, 358, 423, 764, 332?

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 747, 358, 423, 764, 332.

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}.