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LCM of 854, 695, 733, 497, 407

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


Find the LCM of 854, 695, 733, 497, 407 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 854, 695, 733, 497, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,695,733,497,407

Given numbers are 854,695,733,497,407

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

The LCM of 854,695,733,497,407 is 12571856288530.

Find LCM of 854,695,733,497,407 with Prime Factorization


7 854, 695, 733, 497, 407
122, 695, 733, 71, 407

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

7 x 122 x 695 x 733 x 71 x 407 = 12571856288530

Therefore, the lowest common multiple of 854,695,733,497,407 is 12571856288530.

LCM Formula to Find Lowest Common Multiple of 854,695,733,497,407

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.

854 x 695 x 733 x 497 x 407 = 88002994019710

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

695 : 1, 5, 139, 695

733 : 1, 733

497 : 1, 7, 71, 497

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,695,733,497,407, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

695:5x 139

733:733

497:7x 71

407:11x 37

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

7 = 7

Therefore, the value for common factors is 7.

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 = 88002994019710/(1x7)

LCM = 88002994019710/7

LCM = 12571856288530

Thus, we can understand that the LCM of 854,695,733,497,407 is 12571856288530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 695, 733, 497, 407

1. What is the LCM of 854, 695, 733, 497, 407?

Answer: LCM of 854, 695, 733, 497, 407 is 12571856288530.

2. How to calculate the LCM of 854, 695, 733, 497, 407?

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 854, 695, 733, 497, 407.

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}.