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LCM of 443, 713, 246, 533, 657

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


Find the LCM of 443, 713, 246, 533, 657 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 443, 713, 246, 533, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 443,713,246,533,657

Given numbers are 443,713,246,533,657

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

The LCM of 443,713,246,533,657 is 221215640958.

Find LCM of 443,713,246,533,657 with Prime Factorization


3 443, 713, 246, 533, 657
41 443, 713, 82, 533, 219
443, 713, 2, 13, 219

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

3 x 41 x 443 x 713 x 2 x 13 x 219 = 221215640958

Therefore, the lowest common multiple of 443,713,246,533,657 is 221215640958.

LCM Formula to Find Lowest Common Multiple of 443,713,246,533,657

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.

443 x 713 x 246 x 533 x 657 = 27209523837834

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.

443 : 1, 443

713 : 1, 23, 31, 713

246 : 1, 2, 3, 6, 41, 82, 123, 246

533 : 1, 13, 41, 533

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,713,246,533,657, is 1.

Now, the common factors can be found like this.

443:443

713:23x 31

246:2x 3x 41

533:13x 41

657:3x 3x 73

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

3x 41 = 123

Therefore, the value for common factors is 123.

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 = 27209523837834/(1x123)

LCM = 27209523837834/123

LCM = 221215640958

Thus, we can understand that the LCM of 443,713,246,533,657 is 221215640958.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 443, 713, 246, 533, 657

1. What is the LCM of 443, 713, 246, 533, 657?

Answer: LCM of 443, 713, 246, 533, 657 is 221215640958.

2. How to calculate the LCM of 443, 713, 246, 533, 657?

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 443, 713, 246, 533, 657.

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}.