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LCM of 221, 642, 649, 848

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


Find the LCM of 221, 642, 649, 848 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 221, 642, 649, 848. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,642,649,848

Given numbers are 221,642,649,848

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

The LCM of 221,642,649,848 is 39042521232.

Find LCM of 221,642,649,848 with Prime Factorization


2 221, 642, 649, 848
221, 321, 649, 424

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

2 x 221 x 321 x 649 x 424 = 39042521232

Therefore, the lowest common multiple of 221,642,649,848 is 39042521232.

LCM Formula to Find Lowest Common Multiple of 221,642,649,848

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.

221 x 642 x 649 x 848 = 78085042464

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.

221 : 1, 13, 17, 221

642 : 1, 2, 3, 6, 107, 214, 321, 642

649 : 1, 11, 59, 649

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,642,649,848, is 1.

Now, the common factors can be found like this.

221:13x 17

642:2x 3x 107

649:11x 59

848:2x 2x 2x 2x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 78085042464/(1x2)

LCM = 78085042464/2

LCM = 39042521232

Thus, we can understand that the LCM of 221,642,649,848 is 39042521232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 642, 649, 848

1. What is the LCM of 221, 642, 649, 848?

Answer: LCM of 221, 642, 649, 848 is 39042521232.

2. How to calculate the LCM of 221, 642, 649, 848?

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 221, 642, 649, 848.

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}.