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LCM of 426, 284, 976, 848

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


Find the LCM of 426, 284, 976, 848 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 426, 284, 976, 848. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,284,976,848

Given numbers are 426,284,976,848

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

The LCM of 426,284,976,848 is 11018064.

Find LCM of 426,284,976,848 with Prime Factorization


2 426, 284, 976, 848
2 213, 142, 488, 424
2 213, 71, 244, 212
2 213, 71, 122, 106
71 213, 71, 61, 53
3, 1, 61, 53

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

2 x 2 x 2 x 2 x 71 x 3 x 1 x 61 x 53 = 11018064

Therefore, the lowest common multiple of 426,284,976,848 is 11018064.

LCM Formula to Find Lowest Common Multiple of 426,284,976,848

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.

426 x 284 x 976 x 848 = 100132165632

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

284 : 1, 2, 4, 71, 142, 284

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,284,976,848, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

284:2x 2x 71

976:2x 2x 2x 2x 61

848:2x 2x 2x 2x 53

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 71 = 4544

Therefore, the value for common factors is 4544.

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 = 100132165632/(2x4544)

LCM = 100132165632/9088

LCM = 11018064

Thus, we can understand that the LCM of 426,284,976,848 is 11018064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 284, 976, 848

1. What is the LCM of 426, 284, 976, 848?

Answer: LCM of 426, 284, 976, 848 is 11018064.

2. How to calculate the LCM of 426, 284, 976, 848?

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 426, 284, 976, 848.

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}.