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LCM of 395, 711, 535, 953, 281

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


Find the LCM of 395, 711, 535, 953, 281 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 395, 711, 535, 953, 281. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,711,535,953,281

Given numbers are 395,711,535,953,281

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

The LCM of 395,711,535,953,281 is 101864440305.

Find LCM of 395,711,535,953,281 with Prime Factorization


5 395, 711, 535, 953, 281
79 79, 711, 107, 953, 281
1, 9, 107, 953, 281

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

5 x 79 x 1 x 9 x 107 x 953 x 281 = 101864440305

Therefore, the lowest common multiple of 395,711,535,953,281 is 101864440305.

LCM Formula to Find Lowest Common Multiple of 395,711,535,953,281

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.

395 x 711 x 535 x 953 x 281 = 40236453920475

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.

395 : 1, 5, 79, 395

711 : 1, 3, 9, 79, 237, 711

535 : 1, 5, 107, 535

953 : 1, 953

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,711,535,953,281, is 1.

Now, the common factors can be found like this.

395:5x 79

711:3x 3x 79

535:5x 107

953:953

281:281

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

5x 79 = 395

Therefore, the value for common factors is 395.

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 = 40236453920475/(1x395)

LCM = 40236453920475/395

LCM = 101864440305

Thus, we can understand that the LCM of 395,711,535,953,281 is 101864440305.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 711, 535, 953, 281

1. What is the LCM of 395, 711, 535, 953, 281?

Answer: LCM of 395, 711, 535, 953, 281 is 101864440305.

2. How to calculate the LCM of 395, 711, 535, 953, 281?

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 395, 711, 535, 953, 281.

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}.