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LCM of 682, 139, 168, 278, 565

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


Find the LCM of 682, 139, 168, 278, 565 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 682, 139, 168, 278, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,139,168,278,565

Given numbers are 682,139,168,278,565

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

The LCM of 682,139,168,278,565 is 4499113080.

Find LCM of 682,139,168,278,565 with Prime Factorization


2 682, 139, 168, 278, 565
139 341, 139, 84, 139, 565
341, 1, 84, 1, 565

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

2 x 139 x 341 x 1 x 84 x 1 x 565 = 4499113080

Therefore, the lowest common multiple of 682,139,168,278,565 is 4499113080.

LCM Formula to Find Lowest Common Multiple of 682,139,168,278,565

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.

682 x 139 x 168 x 278 x 565 = 2501506872480

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

139 : 1, 139

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

278 : 1, 2, 139, 278

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,139,168,278,565, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

139:139

168:2x 2x 2x 3x 7

278:2x 139

565:5x 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 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 = 2501506872480/(1x556)

LCM = 2501506872480/556

LCM = 4499113080

Thus, we can understand that the LCM of 682,139,168,278,565 is 4499113080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 139, 168, 278, 565

1. What is the LCM of 682, 139, 168, 278, 565?

Answer: LCM of 682, 139, 168, 278, 565 is 4499113080.

2. How to calculate the LCM of 682, 139, 168, 278, 565?

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 682, 139, 168, 278, 565.

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}.