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LCM of 292, 303, 565, 218, 121

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


Find the LCM of 292, 303, 565, 218, 121 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 292, 303, 565, 218, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 292,303,565,218,121

Given numbers are 292,303,565,218,121

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

The LCM of 292,303,565,218,121 is 659304129660.

Find LCM of 292,303,565,218,121 with Prime Factorization


2 292, 303, 565, 218, 121
146, 303, 565, 109, 121

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

2 x 146 x 303 x 565 x 109 x 121 = 659304129660

Therefore, the lowest common multiple of 292,303,565,218,121 is 659304129660.

LCM Formula to Find Lowest Common Multiple of 292,303,565,218,121

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.

292 x 303 x 565 x 218 x 121 = 1318608259320

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.

292 : 1, 2, 4, 73, 146, 292

303 : 1, 3, 101, 303

565 : 1, 5, 113, 565

218 : 1, 2, 109, 218

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,303,565,218,121, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

303:3x 101

565:5x 113

218:2x 109

121:11x 11

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 = 1318608259320/(1x2)

LCM = 1318608259320/2

LCM = 659304129660

Thus, we can understand that the LCM of 292,303,565,218,121 is 659304129660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 292, 303, 565, 218, 121

1. What is the LCM of 292, 303, 565, 218, 121?

Answer: LCM of 292, 303, 565, 218, 121 is 659304129660.

2. How to calculate the LCM of 292, 303, 565, 218, 121?

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 292, 303, 565, 218, 121.

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}.