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 418, 715, 950, 272, 164

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


Find the LCM of 418, 715, 950, 272, 164 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 418, 715, 950, 272, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,715,950,272,164

Given numbers are 418,715,950,272,164

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

The LCM of 418,715,950,272,164 is 757499600.

Find LCM of 418,715,950,272,164 with Prime Factorization


2 418, 715, 950, 272, 164
2 209, 715, 475, 136, 82
5 209, 715, 475, 68, 41
11 209, 143, 95, 68, 41
19 19, 13, 95, 68, 41
1, 13, 5, 68, 41

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

2 x 2 x 5 x 11 x 19 x 1 x 13 x 5 x 68 x 41 = 757499600

Therefore, the lowest common multiple of 418,715,950,272,164 is 757499600.

LCM Formula to Find Lowest Common Multiple of 418,715,950,272,164

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.

418 x 715 x 950 x 272 x 164 = 12665393312000

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

715 : 1, 5, 11, 13, 55, 65, 143, 715

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,715,950,272,164, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

715:5x 11x 13

950:2x 5x 5x 19

272:2x 2x 2x 2x 17

164:2x 2x 41

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

2x 2x 2x 2x 5x 11x 19 = 16720

Therefore, the value for common factors is 16720.

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 = 12665393312000/(1x16720)

LCM = 12665393312000/16720

LCM = 757499600

Thus, we can understand that the LCM of 418,715,950,272,164 is 757499600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 715, 950, 272, 164

1. What is the LCM of 418, 715, 950, 272, 164?

Answer: LCM of 418, 715, 950, 272, 164 is 757499600.

2. How to calculate the LCM of 418, 715, 950, 272, 164?

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 418, 715, 950, 272, 164.

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}.