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LCM of 374, 871, 926, 463, 448

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


Find the LCM of 374, 871, 926, 463, 448 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, 871, 926, 463, 448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,871,926,463,448

Given numbers are 374,871,926,463,448

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

The LCM of 374,871,926,463,448 is 33784598848.

Find LCM of 374,871,926,463,448 with Prime Factorization


2 374, 871, 926, 463, 448
463 187, 871, 463, 463, 224
187, 871, 1, 1, 224

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

2 x 463 x 187 x 871 x 1 x 1 x 224 = 33784598848

Therefore, the lowest common multiple of 374,871,926,463,448 is 33784598848.

LCM Formula to Find Lowest Common Multiple of 374,871,926,463,448

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 871 x 926 x 463 x 448 = 62569077066496

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

871 : 1, 13, 67, 871

926 : 1, 2, 463, 926

463 : 1, 463

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,871,926,463,448, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

871:13x 67

926:2x 463

463:463

448:2x 2x 2x 2x 2x 2x 7

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 463 = 1852

Therefore, the value for common factors is 1852.

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 = 62569077066496/(1x1852)

LCM = 62569077066496/1852

LCM = 33784598848

Thus, we can understand that the LCM of 374,871,926,463,448 is 33784598848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 871, 926, 463, 448

1. What is the LCM of 374, 871, 926, 463, 448?

Answer: LCM of 374, 871, 926, 463, 448 is 33784598848.

2. How to calculate the LCM of 374, 871, 926, 463, 448?

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, 871, 926, 463, 448.

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}.