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 216, 763, 689, 702, 167

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


Find the LCM of 216, 763, 689, 702, 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 216, 763, 689, 702, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 216,763,689,702,167

Given numbers are 216,763,689,702,167

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

The LCM of 216,763,689,702,167 is 18963302904.

Find LCM of 216,763,689,702,167 with Prime Factorization


2 216, 763, 689, 702, 167
3 108, 763, 689, 351, 167
3 36, 763, 689, 117, 167
3 12, 763, 689, 39, 167
13 4, 763, 689, 13, 167
4, 763, 53, 1, 167

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

2 x 3 x 3 x 3 x 13 x 4 x 763 x 53 x 1 x 167 = 18963302904

Therefore, the lowest common multiple of 216,763,689,702,167 is 18963302904.

LCM Formula to Find Lowest Common Multiple of 216,763,689,702,167

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.

216 x 763 x 689 x 702 x 167 = 13312238638608

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

763 : 1, 7, 109, 763

689 : 1, 13, 53, 689

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,763,689,702,167, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

763:7x 109

689:13x 53

702:2x 3x 3x 3x 13

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.

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 13312238638608/(1x702)

LCM = 13312238638608/702

LCM = 18963302904

Thus, we can understand that the LCM of 216,763,689,702,167 is 18963302904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 216, 763, 689, 702, 167

1. What is the LCM of 216, 763, 689, 702, 167?

Answer: LCM of 216, 763, 689, 702, 167 is 18963302904.

2. How to calculate the LCM of 216, 763, 689, 702, 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 216, 763, 689, 702, 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}.