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LCM of 374, 332, 528, 415, 497

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


Find the LCM of 374, 332, 528, 415, 497 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 374, 332, 528, 415, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,332,528,415,497

Given numbers are 374,332,528,415,497

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

The LCM of 374,332,528,415,497 is 1851344880.

Find LCM of 374,332,528,415,497 with Prime Factorization


2 374, 332, 528, 415, 497
2 187, 166, 264, 415, 497
11 187, 83, 132, 415, 497
83 17, 83, 12, 415, 497
17, 1, 12, 5, 497

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

2 x 2 x 11 x 83 x 17 x 1 x 12 x 5 x 497 = 1851344880

Therefore, the lowest common multiple of 374,332,528,415,497 is 1851344880.

LCM Formula to Find Lowest Common Multiple of 374,332,528,415,497

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.

374 x 332 x 528 x 415 x 497 = 13522223003520

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

415 : 1, 5, 83, 415

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,332,528,415,497, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

332:2x 2x 83

528:2x 2x 2x 2x 3x 11

415:5x 83

497:7x 71

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 11x 83 = 7304

Therefore, the value for common factors is 7304.

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 = 13522223003520/(1x7304)

LCM = 13522223003520/7304

LCM = 1851344880

Thus, we can understand that the LCM of 374,332,528,415,497 is 1851344880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 332, 528, 415, 497

1. What is the LCM of 374, 332, 528, 415, 497?

Answer: LCM of 374, 332, 528, 415, 497 is 1851344880.

2. How to calculate the LCM of 374, 332, 528, 415, 497?

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 374, 332, 528, 415, 497.

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}.