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LCM of 782, 911, 872, 298, 501

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


Find the LCM of 782, 911, 872, 298, 501 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 782, 911, 872, 298, 501. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 782,911,872,298,501

Given numbers are 782,911,872,298,501

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

The LCM of 782,911,872,298,501 is 23186522247528.

Find LCM of 782,911,872,298,501 with Prime Factorization


2 782, 911, 872, 298, 501
391, 911, 436, 149, 501

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

2 x 391 x 911 x 436 x 149 x 501 = 23186522247528

Therefore, the lowest common multiple of 782,911,872,298,501 is 23186522247528.

LCM Formula to Find Lowest Common Multiple of 782,911,872,298,501

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.

782 x 911 x 872 x 298 x 501 = 92746088990112

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.

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

911 : 1, 911

872 : 1, 2, 4, 8, 109, 218, 436, 872

298 : 1, 2, 149, 298

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,911,872,298,501, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

911:911

872:2x 2x 2x 109

298:2x 149

501:3x 167

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 92746088990112/(1x4)

LCM = 92746088990112/4

LCM = 23186522247528

Thus, we can understand that the LCM of 782,911,872,298,501 is 23186522247528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 782, 911, 872, 298, 501

1. What is the LCM of 782, 911, 872, 298, 501?

Answer: LCM of 782, 911, 872, 298, 501 is 23186522247528.

2. How to calculate the LCM of 782, 911, 872, 298, 501?

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 782, 911, 872, 298, 501.

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}.