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LCM of 472, 419, 744, 898, 232

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


Find the LCM of 472, 419, 744, 898, 232 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 472, 419, 744, 898, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 472,419,744,898,232

Given numbers are 472,419,744,898,232

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

The LCM of 472,419,744,898,232 is 239487752904.

Find LCM of 472,419,744,898,232 with Prime Factorization


2 472, 419, 744, 898, 232
2 236, 419, 372, 449, 116
2 118, 419, 186, 449, 58
59, 419, 93, 449, 29

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

2 x 2 x 2 x 59 x 419 x 93 x 449 x 29 = 239487752904

Therefore, the lowest common multiple of 472,419,744,898,232 is 239487752904.

LCM Formula to Find Lowest Common Multiple of 472,419,744,898,232

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.

472 x 419 x 744 x 898 x 232 = 30654432371712

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

419 : 1, 419

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

898 : 1, 2, 449, 898

232 : 1, 2, 4, 8, 29, 58, 116, 232

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,419,744,898,232, is 1.

Now, the common factors can be found like this.

472:2x 2x 2x 59

419:419

744:2x 2x 2x 3x 31

898:2x 449

232:2x 2x 2x 29

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 30654432371712/(1x128)

LCM = 30654432371712/128

LCM = 239487752904

Thus, we can understand that the LCM of 472,419,744,898,232 is 239487752904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 472, 419, 744, 898, 232

1. What is the LCM of 472, 419, 744, 898, 232?

Answer: LCM of 472, 419, 744, 898, 232 is 239487752904.

2. How to calculate the LCM of 472, 419, 744, 898, 232?

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 472, 419, 744, 898, 232.

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}.