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LCM of 625, 191, 764, 187, 167

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


Find the LCM of 625, 191, 764, 187, 167 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 625, 191, 764, 187, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,191,764,187,167

Given numbers are 625,191,764,187,167

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

The LCM of 625,191,764,187,167 is 14911847500.

Find LCM of 625,191,764,187,167 with Prime Factorization


191 625, 191, 764, 187, 167
625, 1, 4, 187, 167

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

191 x 625 x 1 x 4 x 187 x 167 = 14911847500

Therefore, the lowest common multiple of 625,191,764,187,167 is 14911847500.

LCM Formula to Find Lowest Common Multiple of 625,191,764,187,167

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.

625 x 191 x 764 x 187 x 167 = 2848162872500

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.

625 : 1, 5, 25, 125, 625

191 : 1, 191

764 : 1, 2, 4, 191, 382, 764

187 : 1, 11, 17, 187

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,191,764,187,167, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

191:191

764:2x 2x 191

187:11x 17

167:167

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

191 = 191

Therefore, the value for common factors is 191.

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 = 2848162872500/(1x191)

LCM = 2848162872500/191

LCM = 14911847500

Thus, we can understand that the LCM of 625,191,764,187,167 is 14911847500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 191, 764, 187, 167

1. What is the LCM of 625, 191, 764, 187, 167?

Answer: LCM of 625, 191, 764, 187, 167 is 14911847500.

2. How to calculate the LCM of 625, 191, 764, 187, 167?

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 625, 191, 764, 187, 167.

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}.