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LCM of 121, 211, 447, 240, 646

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


Find the LCM of 121, 211, 447, 240, 646 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 121, 211, 447, 240, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,211,447,240,646

Given numbers are 121,211,447,240,646

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

The LCM of 121,211,447,240,646 is 294895304880.

Find LCM of 121,211,447,240,646 with Prime Factorization


2 121, 211, 447, 240, 646
3 121, 211, 447, 120, 323
121, 211, 149, 40, 323

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

2 x 3 x 121 x 211 x 149 x 40 x 323 = 294895304880

Therefore, the lowest common multiple of 121,211,447,240,646 is 294895304880.

LCM Formula to Find Lowest Common Multiple of 121,211,447,240,646

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.

121 x 211 x 447 x 240 x 646 = 1769371829280

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.

121 : 1, 11, 121

211 : 1, 211

447 : 1, 3, 149, 447

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,211,447,240,646, is 1.

Now, the common factors can be found like this.

121:11x 11

211:211

447:3x 149

240:2x 2x 2x 2x 3x 5

646:2x 17x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 1769371829280/(1x6)

LCM = 1769371829280/6

LCM = 294895304880

Thus, we can understand that the LCM of 121,211,447,240,646 is 294895304880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 211, 447, 240, 646

1. What is the LCM of 121, 211, 447, 240, 646?

Answer: LCM of 121, 211, 447, 240, 646 is 294895304880.

2. How to calculate the LCM of 121, 211, 447, 240, 646?

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 121, 211, 447, 240, 646.

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}.