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LCM of 398, 945, 332

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


Find the LCM of 398, 945, 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 398, 945, 332. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,945,332

Given numbers are 398,945,332

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

The LCM of 398,945,332 is 62434260.

Find LCM of 398,945,332 with Prime Factorization


2 398, 945, 332
199, 945, 166

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

2 x 199 x 945 x 166 = 62434260

Therefore, the lowest common multiple of 398,945,332 is 62434260.

LCM Formula to Find Lowest Common Multiple of 398,945,332

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.

398 x 945 x 332 = 124868520

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.

398 : 1, 2, 199, 398

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 398,945,332, is 1.

Now, the common factors can be found like this.

398:2x 199

945:3x 3x 3x 5x 7

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.

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 = 124868520/(1x2)

LCM = 124868520/2

LCM = 62434260

Thus, we can understand that the LCM of 398,945,332 is 62434260.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 398, 945, 332

1. What is the LCM of 398, 945, 332?

Answer: LCM of 398, 945, 332 is 62434260.

2. How to calculate the LCM of 398, 945, 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 398, 945, 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}.