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LCM of 398, 318, 373, 373

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


Find the LCM of 398, 318, 373, 373 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, 318, 373, 373. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,318,373,373

Given numbers are 398,318,373,373

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

The LCM of 398,318,373,373 is 23604186.

Find LCM of 398,318,373,373 with Prime Factorization


2 398, 318, 373, 373
373 199, 159, 373, 373
199, 159, 1, 1

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

2 x 373 x 199 x 159 x 1 x 1 = 23604186

Therefore, the lowest common multiple of 398,318,373,373 is 23604186.

LCM Formula to Find Lowest Common Multiple of 398,318,373,373

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 318 x 373 x 373 = 17608722756

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

373 : 1, 373

373 : 1, 373

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,318,373,373, is 1.

Now, the common factors can be found like this.

398:2x 199

318:2x 3x 53

373:373

373:373

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

2x 373 = 746

Therefore, the value for common factors is 746.

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 = 17608722756/(1x746)

LCM = 17608722756/746

LCM = 23604186

Thus, we can understand that the LCM of 398,318,373,373 is 23604186.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 318, 373, 373

1. What is the LCM of 398, 318, 373, 373?

Answer: LCM of 398, 318, 373, 373 is 23604186.

2. How to calculate the LCM of 398, 318, 373, 373?

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, 318, 373, 373.

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}.