LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 276, 725, 667, 167

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


Find the LCM of 276, 725, 667, 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 276, 725, 667, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,725,667,167

Given numbers are 276,725,667,167

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

The LCM of 276,725,667,167 is 33416700.

Find LCM of 276,725,667,167 with Prime Factorization


23 276, 725, 667, 167
29 12, 725, 29, 167
12, 25, 1, 167

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

23 x 29 x 12 x 25 x 1 x 167 = 33416700

Therefore, the lowest common multiple of 276,725,667,167 is 33416700.

LCM Formula to Find Lowest Common Multiple of 276,725,667,167

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.

276 x 725 x 667 x 167 = 22288938900

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

725 : 1, 5, 25, 29, 145, 725

667 : 1, 23, 29, 667

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,725,667,167, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

725:5x 5x 29

667:23x 29

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.

23x 29 = 667

Therefore, the value for common factors is 667.

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 = 22288938900/(1x667)

LCM = 22288938900/667

LCM = 33416700

Thus, we can understand that the LCM of 276,725,667,167 is 33416700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 725, 667, 167

1. What is the LCM of 276, 725, 667, 167?

Answer: LCM of 276, 725, 667, 167 is 33416700.

2. How to calculate the LCM of 276, 725, 667, 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 276, 725, 667, 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}.