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LCM of 398, 390, 740, 385

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


Find the LCM of 398, 390, 740, 385 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, 390, 740, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,390,740,385

Given numbers are 398,390,740,385

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

The LCM of 398,390,740,385 is 442221780.

Find LCM of 398,390,740,385 with Prime Factorization


2 398, 390, 740, 385
5 199, 195, 370, 385
199, 39, 74, 77

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

2 x 5 x 199 x 39 x 74 x 77 = 442221780

Therefore, the lowest common multiple of 398,390,740,385 is 442221780.

LCM Formula to Find Lowest Common Multiple of 398,390,740,385

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 390 x 740 x 385 = 44222178000

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,390,740,385, is 1.

Now, the common factors can be found like this.

398:2x 199

390:2x 3x 5x 13

740:2x 2x 5x 37

385:5x 7x 11

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 44222178000/(1x100)

LCM = 44222178000/100

LCM = 442221780

Thus, we can understand that the LCM of 398,390,740,385 is 442221780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 390, 740, 385

1. What is the LCM of 398, 390, 740, 385?

Answer: LCM of 398, 390, 740, 385 is 442221780.

2. How to calculate the LCM of 398, 390, 740, 385?

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, 390, 740, 385.

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}.