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LCM of 908, 376, 606, 397

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


Find the LCM of 908, 376, 606, 397 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 908, 376, 606, 397. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,376,606,397

Given numbers are 908,376,606,397

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

The LCM of 908,376,606,397 is 10267077432.

Find LCM of 908,376,606,397 with Prime Factorization


2 908, 376, 606, 397
2 454, 188, 303, 397
227, 94, 303, 397

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

2 x 2 x 227 x 94 x 303 x 397 = 10267077432

Therefore, the lowest common multiple of 908,376,606,397 is 10267077432.

LCM Formula to Find Lowest Common Multiple of 908,376,606,397

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.

908 x 376 x 606 x 397 = 82136619456

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.

908 : 1, 2, 4, 227, 454, 908

376 : 1, 2, 4, 8, 47, 94, 188, 376

606 : 1, 2, 3, 6, 101, 202, 303, 606

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,376,606,397, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

376:2x 2x 2x 47

606:2x 3x 101

397:397

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 = 82136619456/(1x8)

LCM = 82136619456/8

LCM = 10267077432

Thus, we can understand that the LCM of 908,376,606,397 is 10267077432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 376, 606, 397

1. What is the LCM of 908, 376, 606, 397?

Answer: LCM of 908, 376, 606, 397 is 10267077432.

2. How to calculate the LCM of 908, 376, 606, 397?

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 908, 376, 606, 397.

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}.