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LCM of 645, 110, 407, 618

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


Find the LCM of 645, 110, 407, 618 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 645, 110, 407, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 645,110,407,618

Given numbers are 645,110,407,618

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

The LCM of 645,110,407,618 is 54078090.

Find LCM of 645,110,407,618 with Prime Factorization


2 645, 110, 407, 618
3 645, 55, 407, 309
5 215, 55, 407, 103
11 43, 11, 407, 103
43, 1, 37, 103

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

2 x 3 x 5 x 11 x 43 x 1 x 37 x 103 = 54078090

Therefore, the lowest common multiple of 645,110,407,618 is 54078090.

LCM Formula to Find Lowest Common Multiple of 645,110,407,618

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.

645 x 110 x 407 x 618 = 17845769700

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.

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

407 : 1, 11, 37, 407

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,110,407,618, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

110:2x 5x 11

407:11x 37

618:2x 3x 103

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 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 17845769700/(1x330)

LCM = 17845769700/330

LCM = 54078090

Thus, we can understand that the LCM of 645,110,407,618 is 54078090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 645, 110, 407, 618

1. What is the LCM of 645, 110, 407, 618?

Answer: LCM of 645, 110, 407, 618 is 54078090.

2. How to calculate the LCM of 645, 110, 407, 618?

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 645, 110, 407, 618.

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}.