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LCM of 684, 867, 772, 492, 423

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


Find the LCM of 684, 867, 772, 492, 423 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 684, 867, 772, 492, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,867,772,492,423

Given numbers are 684,867,772,492,423

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

The LCM of 684,867,772,492,423 is 73517878836.

Find LCM of 684,867,772,492,423 with Prime Factorization


2 684, 867, 772, 492, 423
2 342, 867, 386, 246, 423
3 171, 867, 193, 123, 423
3 57, 289, 193, 41, 141
19, 289, 193, 41, 47

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

2 x 2 x 3 x 3 x 19 x 289 x 193 x 41 x 47 = 73517878836

Therefore, the lowest common multiple of 684,867,772,492,423 is 73517878836.

LCM Formula to Find Lowest Common Multiple of 684,867,772,492,423

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.

684 x 867 x 772 x 492 x 423 = 95279170971456

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.

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

867 : 1, 3, 17, 51, 289, 867

772 : 1, 2, 4, 193, 386, 772

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,867,772,492,423, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

867:3x 17x 17

772:2x 2x 193

492:2x 2x 3x 41

423:3x 3x 47

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 2x 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 95279170971456/(1x1296)

LCM = 95279170971456/1296

LCM = 73517878836

Thus, we can understand that the LCM of 684,867,772,492,423 is 73517878836.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 867, 772, 492, 423

1. What is the LCM of 684, 867, 772, 492, 423?

Answer: LCM of 684, 867, 772, 492, 423 is 73517878836.

2. How to calculate the LCM of 684, 867, 772, 492, 423?

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 684, 867, 772, 492, 423.

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}.