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LCM of 645, 650, 858

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


Find the LCM of 645, 650, 858 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, 650, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 645,650,858

Given numbers are 645,650,858

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

The LCM of 645,650,858 is 922350.

Find LCM of 645,650,858 with Prime Factorization


2 645, 650, 858
3 645, 325, 429
5 215, 325, 143
13 43, 65, 143
43, 5, 11

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

2 x 3 x 5 x 13 x 43 x 5 x 11 = 922350

Therefore, the lowest common multiple of 645,650,858 is 922350.

LCM Formula to Find Lowest Common Multiple of 645,650,858

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 650 x 858 = 359716500

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

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,650,858, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

650:2x 5x 5x 13

858:2x 3x 11x 13

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 13 = 390

Therefore, the value for common factors is 390.

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 = 359716500/(1x390)

LCM = 359716500/390

LCM = 922350

Thus, we can understand that the LCM of 645,650,858 is 922350.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 645, 650, 858

1. What is the LCM of 645, 650, 858?

Answer: LCM of 645, 650, 858 is 922350.

2. How to calculate the LCM of 645, 650, 858?

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, 650, 858.

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}.