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LCM of 847, 642, 448, 682

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


Find the LCM of 847, 642, 448, 682 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 847, 642, 448, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 847,642,448,682

Given numbers are 847,642,448,682

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

The LCM of 847,642,448,682 is 539423808.

Find LCM of 847,642,448,682 with Prime Factorization


2 847, 642, 448, 682
7 847, 321, 224, 341
11 121, 321, 32, 341
11, 321, 32, 31

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

2 x 7 x 11 x 11 x 321 x 32 x 31 = 539423808

Therefore, the lowest common multiple of 847,642,448,682 is 539423808.

LCM Formula to Find Lowest Common Multiple of 847,642,448,682

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.

847 x 642 x 448 x 682 = 166142532864

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.

847 : 1, 7, 11, 77, 121, 847

642 : 1, 2, 3, 6, 107, 214, 321, 642

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,642,448,682, is 1.

Now, the common factors can be found like this.

847:7x 11x 11

642:2x 3x 107

448:2x 2x 2x 2x 2x 2x 7

682:2x 11x 31

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 166142532864/(1x308)

LCM = 166142532864/308

LCM = 539423808

Thus, we can understand that the LCM of 847,642,448,682 is 539423808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 847, 642, 448, 682

1. What is the LCM of 847, 642, 448, 682?

Answer: LCM of 847, 642, 448, 682 is 539423808.

2. How to calculate the LCM of 847, 642, 448, 682?

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 847, 642, 448, 682.

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}.