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LCM of 416, 282, 474, 488, 904

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


Find the LCM of 416, 282, 474, 488, 904 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 416, 282, 474, 488, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,282,474,488,904

Given numbers are 416,282,474,488,904

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

The LCM of 416,282,474,488,904 is 31940948832.

Find LCM of 416,282,474,488,904 with Prime Factorization


2 416, 282, 474, 488, 904
2 208, 141, 237, 244, 452
2 104, 141, 237, 122, 226
3 52, 141, 237, 61, 113
52, 47, 79, 61, 113

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

2 x 2 x 2 x 3 x 52 x 47 x 79 x 61 x 113 = 31940948832

Therefore, the lowest common multiple of 416,282,474,488,904 is 31940948832.

LCM Formula to Find Lowest Common Multiple of 416,282,474,488,904

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.

416 x 282 x 474 x 488 x 904 = 24530648702976

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

282 : 1, 2, 3, 6, 47, 94, 141, 282

474 : 1, 2, 3, 6, 79, 158, 237, 474

488 : 1, 2, 4, 8, 61, 122, 244, 488

904 : 1, 2, 4, 8, 113, 226, 452, 904

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,282,474,488,904, is 2.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

282:2x 3x 47

474:2x 3x 79

488:2x 2x 2x 61

904:2x 2x 2x 113

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 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 24530648702976/(2x384)

LCM = 24530648702976/768

LCM = 31940948832

Thus, we can understand that the LCM of 416,282,474,488,904 is 31940948832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 282, 474, 488, 904

1. What is the LCM of 416, 282, 474, 488, 904?

Answer: LCM of 416, 282, 474, 488, 904 is 31940948832.

2. How to calculate the LCM of 416, 282, 474, 488, 904?

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 416, 282, 474, 488, 904.

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}.