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LCM of 278, 993, 676, 562

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


Find the LCM of 278, 993, 676, 562 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, 993, 676, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,993,676,562

Given numbers are 278,993,676,562

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

The LCM of 278,993,676,562 is 26219056812.

Find LCM of 278,993,676,562 with Prime Factorization


2 278, 993, 676, 562
139, 993, 338, 281

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

2 x 139 x 993 x 338 x 281 = 26219056812

Therefore, the lowest common multiple of 278,993,676,562 is 26219056812.

LCM Formula to Find Lowest Common Multiple of 278,993,676,562

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 993 x 676 x 562 = 104876227248

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

993 : 1, 3, 331, 993

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,993,676,562, is 1.

Now, the common factors can be found like this.

278:2x 139

993:3x 331

676:2x 2x 13x 13

562:2x 281

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 104876227248/(1x4)

LCM = 104876227248/4

LCM = 26219056812

Thus, we can understand that the LCM of 278,993,676,562 is 26219056812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 993, 676, 562

1. What is the LCM of 278, 993, 676, 562?

Answer: LCM of 278, 993, 676, 562 is 26219056812.

2. How to calculate the LCM of 278, 993, 676, 562?

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, 993, 676, 562.

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}.