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LCM of 151, 706, 445, 676, 353

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


Find the LCM of 151, 706, 445, 676, 353 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 151, 706, 445, 676, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 151,706,445,676,353

Given numbers are 151,706,445,676,353

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

The LCM of 151,706,445,676,353 is 16034608460.

Find LCM of 151,706,445,676,353 with Prime Factorization


2 151, 706, 445, 676, 353
353 151, 353, 445, 338, 353
151, 1, 445, 338, 1

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

2 x 353 x 151 x 1 x 445 x 338 x 1 = 16034608460

Therefore, the lowest common multiple of 151,706,445,676,353 is 16034608460.

LCM Formula to Find Lowest Common Multiple of 151,706,445,676,353

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.

151 x 706 x 445 x 676 x 353 = 11320433572760

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.

151 : 1, 151

706 : 1, 2, 353, 706

445 : 1, 5, 89, 445

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,706,445,676,353, is 1.

Now, the common factors can be found like this.

151:151

706:2x 353

445:5x 89

676:2x 2x 13x 13

353:353

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 353 = 706

Therefore, the value for common factors is 706.

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 = 11320433572760/(1x706)

LCM = 11320433572760/706

LCM = 16034608460

Thus, we can understand that the LCM of 151,706,445,676,353 is 16034608460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 151, 706, 445, 676, 353

1. What is the LCM of 151, 706, 445, 676, 353?

Answer: LCM of 151, 706, 445, 676, 353 is 16034608460.

2. How to calculate the LCM of 151, 706, 445, 676, 353?

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 151, 706, 445, 676, 353.

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}.