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LCM of 646, 718, 407, 645

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


Find the LCM of 646, 718, 407, 645 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 646, 718, 407, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,718,407,645

Given numbers are 646,718,407,645

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

The LCM of 646,718,407,645 is 60880903710.

Find LCM of 646,718,407,645 with Prime Factorization


2 646, 718, 407, 645
323, 359, 407, 645

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

2 x 323 x 359 x 407 x 645 = 60880903710

Therefore, the lowest common multiple of 646,718,407,645 is 60880903710.

LCM Formula to Find Lowest Common Multiple of 646,718,407,645

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.

646 x 718 x 407 x 645 = 121761807420

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

718 : 1, 2, 359, 718

407 : 1, 11, 37, 407

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,718,407,645, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

718:2x 359

407:11x 37

645:3x 5x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 121761807420/(1x2)

LCM = 121761807420/2

LCM = 60880903710

Thus, we can understand that the LCM of 646,718,407,645 is 60880903710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 718, 407, 645

1. What is the LCM of 646, 718, 407, 645?

Answer: LCM of 646, 718, 407, 645 is 60880903710.

2. How to calculate the LCM of 646, 718, 407, 645?

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 646, 718, 407, 645.

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}.