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LCM of 695, 505, 606, 733

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


Find the LCM of 695, 505, 606, 733 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 695, 505, 606, 733. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,505,606,733

Given numbers are 695,505,606,733

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

The LCM of 695,505,606,733 is 308717610.

Find LCM of 695,505,606,733 with Prime Factorization


5 695, 505, 606, 733
101 139, 101, 606, 733
139, 1, 6, 733

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

5 x 101 x 139 x 1 x 6 x 733 = 308717610

Therefore, the lowest common multiple of 695,505,606,733 is 308717610.

LCM Formula to Find Lowest Common Multiple of 695,505,606,733

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.

695 x 505 x 606 x 733 = 155902393050

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.

695 : 1, 5, 139, 695

505 : 1, 5, 101, 505

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

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,505,606,733, is 1.

Now, the common factors can be found like this.

695:5x 139

505:5x 101

606:2x 3x 101

733:733

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

5x 101 = 505

Therefore, the value for common factors is 505.

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 = 155902393050/(1x505)

LCM = 155902393050/505

LCM = 308717610

Thus, we can understand that the LCM of 695,505,606,733 is 308717610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 505, 606, 733

1. What is the LCM of 695, 505, 606, 733?

Answer: LCM of 695, 505, 606, 733 is 308717610.

2. How to calculate the LCM of 695, 505, 606, 733?

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 695, 505, 606, 733.

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}.