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 187, 136, 418, 780, 782

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


Find the LCM of 187, 136, 418, 780, 782 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 187, 136, 418, 780, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,136,418,780,782

Given numbers are 187,136,418,780,782

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

The LCM of 187,136,418,780,782 is 127481640.

Find LCM of 187,136,418,780,782 with Prime Factorization


2 187, 136, 418, 780, 782
2 187, 68, 209, 390, 391
11 187, 34, 209, 195, 391
17 17, 34, 19, 195, 391
1, 2, 19, 195, 23

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

2 x 2 x 11 x 17 x 1 x 2 x 19 x 195 x 23 = 127481640

Therefore, the lowest common multiple of 187,136,418,780,782 is 127481640.

LCM Formula to Find Lowest Common Multiple of 187,136,418,780,782

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.

187 x 136 x 418 x 780 x 782 = 6484226136960

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.

187 : 1, 11, 17, 187

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

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,136,418,780,782, is 1.

Now, the common factors can be found like this.

187:11x 17

136:2x 2x 2x 17

418:2x 11x 19

780:2x 2x 3x 5x 13

782:2x 17x 23

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 11x 17x 17 = 50864

Therefore, the value for common factors is 50864.

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 = 6484226136960/(1x50864)

LCM = 6484226136960/50864

LCM = 127481640

Thus, we can understand that the LCM of 187,136,418,780,782 is 127481640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 136, 418, 780, 782

1. What is the LCM of 187, 136, 418, 780, 782?

Answer: LCM of 187, 136, 418, 780, 782 is 127481640.

2. How to calculate the LCM of 187, 136, 418, 780, 782?

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 187, 136, 418, 780, 782.

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}.