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LCM of 121, 992, 248, 510, 283

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


Find the LCM of 121, 992, 248, 510, 283 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, 992, 248, 510, 283. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,992,248,510,283

Given numbers are 121,992,248,510,283

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

The LCM of 121,992,248,510,283 is 8662109280.

Find LCM of 121,992,248,510,283 with Prime Factorization


2 121, 992, 248, 510, 283
2 121, 496, 124, 255, 283
2 121, 248, 62, 255, 283
31 121, 124, 31, 255, 283
121, 4, 1, 255, 283

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

2 x 2 x 2 x 31 x 121 x 4 x 1 x 255 x 283 = 8662109280

Therefore, the lowest common multiple of 121,992,248,510,283 is 8662109280.

LCM Formula to Find Lowest Common Multiple of 121,992,248,510,283

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 992 x 248 x 510 x 283 = 4296406202880

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

248 : 1, 2, 4, 8, 31, 62, 124, 248

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,992,248,510,283, is 1.

Now, the common factors can be found like this.

121:11x 11

992:2x 2x 2x 2x 2x 31

248:2x 2x 2x 31

510:2x 3x 5x 17

283:283

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

2x 2x 2x 2x 31 = 496

Therefore, the value for common factors is 496.

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 = 4296406202880/(1x496)

LCM = 4296406202880/496

LCM = 8662109280

Thus, we can understand that the LCM of 121,992,248,510,283 is 8662109280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 992, 248, 510, 283

1. What is the LCM of 121, 992, 248, 510, 283?

Answer: LCM of 121, 992, 248, 510, 283 is 8662109280.

2. How to calculate the LCM of 121, 992, 248, 510, 283?

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, 992, 248, 510, 283.

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}.