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LCM of 497, 335, 946, 781, 256

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


Find the LCM of 497, 335, 946, 781, 256 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 497, 335, 946, 781, 256. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 497,335,946,781,256

Given numbers are 497,335,946,781,256

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

The LCM of 497,335,946,781,256 is 20160546560.

Find LCM of 497,335,946,781,256 with Prime Factorization


2 497, 335, 946, 781, 256
11 497, 335, 473, 781, 128
71 497, 335, 43, 71, 128
7, 335, 43, 1, 128

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

2 x 11 x 71 x 7 x 335 x 43 x 1 x 128 = 20160546560

Therefore, the lowest common multiple of 497,335,946,781,256 is 20160546560.

LCM Formula to Find Lowest Common Multiple of 497,335,946,781,256

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.

497 x 335 x 946 x 781 x 256 = 31490773726720

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.

497 : 1, 7, 71, 497

335 : 1, 5, 67, 335

946 : 1, 2, 11, 22, 43, 86, 473, 946

781 : 1, 11, 71, 781

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,335,946,781,256, is 1.

Now, the common factors can be found like this.

497:7x 71

335:5x 67

946:2x 11x 43

781:11x 71

256:2x 2x 2x 2x 2x 2x 2x 2

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

2x 11x 71 = 1562

Therefore, the value for common factors is 1562.

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 = 31490773726720/(1x1562)

LCM = 31490773726720/1562

LCM = 20160546560

Thus, we can understand that the LCM of 497,335,946,781,256 is 20160546560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 497, 335, 946, 781, 256

1. What is the LCM of 497, 335, 946, 781, 256?

Answer: LCM of 497, 335, 946, 781, 256 is 20160546560.

2. How to calculate the LCM of 497, 335, 946, 781, 256?

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 497, 335, 946, 781, 256.

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}.