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LCM of 278, 382, 834, 928

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


Find the LCM of 278, 382, 834, 928 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 278, 382, 834, 928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,382,834,928

Given numbers are 278,382,834,928

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

The LCM of 278,382,834,928 is 73912416.

Find LCM of 278,382,834,928 with Prime Factorization


2 278, 382, 834, 928
139 139, 191, 417, 464
1, 191, 3, 464

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

2 x 139 x 1 x 191 x 3 x 464 = 73912416

Therefore, the lowest common multiple of 278,382,834,928 is 73912416.

LCM Formula to Find Lowest Common Multiple of 278,382,834,928

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.

278 x 382 x 834 x 928 = 82190606592

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.

278 : 1, 2, 139, 278

382 : 1, 2, 191, 382

834 : 1, 2, 3, 6, 139, 278, 417, 834

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,382,834,928, is 2.

Now, the common factors can be found like this.

278:2x 139

382:2x 191

834:2x 3x 139

928:2x 2x 2x 2x 2x 29

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 139 = 556

Therefore, the value for common factors is 556.

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 = 82190606592/(2x556)

LCM = 82190606592/1112

LCM = 73912416

Thus, we can understand that the LCM of 278,382,834,928 is 73912416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 382, 834, 928

1. What is the LCM of 278, 382, 834, 928?

Answer: LCM of 278, 382, 834, 928 is 73912416.

2. How to calculate the LCM of 278, 382, 834, 928?

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 278, 382, 834, 928.

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}.