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LCM of 695, 615, 187, 700

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


Find the LCM of 695, 615, 187, 700 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, 615, 187, 700. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,615,187,700

Given numbers are 695,615,187,700

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

The LCM of 695,615,187,700 is 2237997300.

Find LCM of 695,615,187,700 with Prime Factorization


5 695, 615, 187, 700
139, 123, 187, 140

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

5 x 139 x 123 x 187 x 140 = 2237997300

Therefore, the lowest common multiple of 695,615,187,700 is 2237997300.

LCM Formula to Find Lowest Common Multiple of 695,615,187,700

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 615 x 187 x 700 = 55949932500

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

615 : 1, 3, 5, 15, 41, 123, 205, 615

187 : 1, 11, 17, 187

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,615,187,700, is 1.

Now, the common factors can be found like this.

695:5x 139

615:3x 5x 41

187:11x 17

700:2x 2x 5x 5x 7

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 55949932500/(1x25)

LCM = 55949932500/25

LCM = 2237997300

Thus, we can understand that the LCM of 695,615,187,700 is 2237997300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 615, 187, 700

1. What is the LCM of 695, 615, 187, 700?

Answer: LCM of 695, 615, 187, 700 is 2237997300.

2. How to calculate the LCM of 695, 615, 187, 700?

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, 615, 187, 700.

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}.