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LCM of 223, 355, 905, 685, 782

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


Find the LCM of 223, 355, 905, 685, 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 223, 355, 905, 685, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 223,355,905,685,782

Given numbers are 223,355,905,685,782

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

The LCM of 223,355,905,685,782 is 1535108622910.

Find LCM of 223,355,905,685,782 with Prime Factorization


5 223, 355, 905, 685, 782
223, 71, 181, 137, 782

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

5 x 223 x 71 x 181 x 137 x 782 = 1535108622910

Therefore, the lowest common multiple of 223,355,905,685,782 is 1535108622910.

LCM Formula to Find Lowest Common Multiple of 223,355,905,685,782

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.

223 x 355 x 905 x 685 x 782 = 38377715572750

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.

223 : 1, 223

355 : 1, 5, 71, 355

905 : 1, 5, 181, 905

685 : 1, 5, 137, 685

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 223,355,905,685,782, is 1.

Now, the common factors can be found like this.

223:223

355:5x 71

905:5x 181

685:5x 137

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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 38377715572750/(1x25)

LCM = 38377715572750/25

LCM = 1535108622910

Thus, we can understand that the LCM of 223,355,905,685,782 is 1535108622910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 223, 355, 905, 685, 782

1. What is the LCM of 223, 355, 905, 685, 782?

Answer: LCM of 223, 355, 905, 685, 782 is 1535108622910.

2. How to calculate the LCM of 223, 355, 905, 685, 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 223, 355, 905, 685, 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}.