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LCM of 898, 706, 378, 527, 380

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


Find the LCM of 898, 706, 378, 527, 380 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 898, 706, 378, 527, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,706,378,527,380

Given numbers are 898,706,378,527,380

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

The LCM of 898,706,378,527,380 is 5998975142580.

Find LCM of 898,706,378,527,380 with Prime Factorization


2 898, 706, 378, 527, 380
449, 353, 189, 527, 190

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

2 x 449 x 353 x 189 x 527 x 190 = 5998975142580

Therefore, the lowest common multiple of 898,706,378,527,380 is 5998975142580.

LCM Formula to Find Lowest Common Multiple of 898,706,378,527,380

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.

898 x 706 x 378 x 527 x 380 = 47991801140640

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.

898 : 1, 2, 449, 898

706 : 1, 2, 353, 706

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

527 : 1, 17, 31, 527

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,706,378,527,380, is 1.

Now, the common factors can be found like this.

898:2x 449

706:2x 353

378:2x 3x 3x 3x 7

527:17x 31

380:2x 2x 5x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 47991801140640/(1x8)

LCM = 47991801140640/8

LCM = 5998975142580

Thus, we can understand that the LCM of 898,706,378,527,380 is 5998975142580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 706, 378, 527, 380

1. What is the LCM of 898, 706, 378, 527, 380?

Answer: LCM of 898, 706, 378, 527, 380 is 5998975142580.

2. How to calculate the LCM of 898, 706, 378, 527, 380?

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 898, 706, 378, 527, 380.

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}.