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LCM of 627, 684, 718, 698

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


Find the LCM of 627, 684, 718, 698 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 627, 684, 718, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,684,718,698

Given numbers are 627,684,718,698

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

The LCM of 627,684,718,698 is 942689484.

Find LCM of 627,684,718,698 with Prime Factorization


2 627, 684, 718, 698
3 627, 342, 359, 349
19 209, 114, 359, 349
11, 6, 359, 349

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

2 x 3 x 19 x 11 x 6 x 359 x 349 = 942689484

Therefore, the lowest common multiple of 627,684,718,698 is 942689484.

LCM Formula to Find Lowest Common Multiple of 627,684,718,698

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.

627 x 684 x 718 x 698 = 214933202352

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.

627 : 1, 3, 11, 19, 33, 57, 209, 627

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

718 : 1, 2, 359, 718

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,684,718,698, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

684:2x 2x 3x 3x 19

718:2x 359

698:2x 349

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 214933202352/(1x228)

LCM = 214933202352/228

LCM = 942689484

Thus, we can understand that the LCM of 627,684,718,698 is 942689484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 684, 718, 698

1. What is the LCM of 627, 684, 718, 698?

Answer: LCM of 627, 684, 718, 698 is 942689484.

2. How to calculate the LCM of 627, 684, 718, 698?

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 627, 684, 718, 698.

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}.