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LCM of 147, 898, 926, 497

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


Find the LCM of 147, 898, 926, 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 147, 898, 926, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 147,898,926,497

Given numbers are 147,898,926,497

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

The LCM of 147,898,926,497 is 4339433238.

Find LCM of 147,898,926,497 with Prime Factorization


2 147, 898, 926, 497
7 147, 449, 463, 497
21, 449, 463, 71

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

2 x 7 x 21 x 449 x 463 x 71 = 4339433238

Therefore, the lowest common multiple of 147,898,926,497 is 4339433238.

LCM Formula to Find Lowest Common Multiple of 147,898,926,497

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.

147 x 898 x 926 x 497 = 60752065332

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.

147 : 1, 3, 7, 21, 49, 147

898 : 1, 2, 449, 898

926 : 1, 2, 463, 926

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,898,926,497, is 1.

Now, the common factors can be found like this.

147:3x 7x 7

898:2x 449

926:2x 463

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 7 = 14

Therefore, the value for common factors is 14.

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 = 60752065332/(1x14)

LCM = 60752065332/14

LCM = 4339433238

Thus, we can understand that the LCM of 147,898,926,497 is 4339433238.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 147, 898, 926, 497

1. What is the LCM of 147, 898, 926, 497?

Answer: LCM of 147, 898, 926, 497 is 4339433238.

2. How to calculate the LCM of 147, 898, 926, 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 147, 898, 926, 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}.