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LCM of 872, 545, 654, 343

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


Find the LCM of 872, 545, 654, 343 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 872, 545, 654, 343. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 872,545,654,343

Given numbers are 872,545,654,343

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

The LCM of 872,545,654,343 is 4486440.

Find LCM of 872,545,654,343 with Prime Factorization


2 872, 545, 654, 343
109 436, 545, 327, 343
4, 5, 3, 343

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

2 x 109 x 4 x 5 x 3 x 343 = 4486440

Therefore, the lowest common multiple of 872,545,654,343 is 4486440.

LCM Formula to Find Lowest Common Multiple of 872,545,654,343

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.

872 x 545 x 654 x 343 = 106606787280

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.

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

545 : 1, 5, 109, 545

654 : 1, 2, 3, 6, 109, 218, 327, 654

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,545,654,343, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

545:5x 109

654:2x 3x 109

343:7x 7x 7

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

2x 109x 109 = 23762

Therefore, the value for common factors is 23762.

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 = 106606787280/(1x23762)

LCM = 106606787280/23762

LCM = 4486440

Thus, we can understand that the LCM of 872,545,654,343 is 4486440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 872, 545, 654, 343

1. What is the LCM of 872, 545, 654, 343?

Answer: LCM of 872, 545, 654, 343 is 4486440.

2. How to calculate the LCM of 872, 545, 654, 343?

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 872, 545, 654, 343.

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}.