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LCM of 894, 368, 598, 671, 689

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


Find the LCM of 894, 368, 598, 671, 689 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 894, 368, 598, 671, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 894,368,598,671,689

Given numbers are 894,368,598,671,689

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

The LCM of 894,368,598,671,689 is 76049626224.

Find LCM of 894,368,598,671,689 with Prime Factorization


2 894, 368, 598, 671, 689
13 447, 184, 299, 671, 689
23 447, 184, 23, 671, 53
447, 8, 1, 671, 53

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

2 x 13 x 23 x 447 x 8 x 1 x 671 x 53 = 76049626224

Therefore, the lowest common multiple of 894,368,598,671,689 is 76049626224.

LCM Formula to Find Lowest Common Multiple of 894,368,598,671,689

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.

894 x 368 x 598 x 671 x 689 = 90955352963904

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

598 : 1, 2, 13, 23, 26, 46, 299, 598

671 : 1, 11, 61, 671

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,368,598,671,689, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

368:2x 2x 2x 2x 23

598:2x 13x 23

671:11x 61

689:13x 53

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 13x 23 = 1196

Therefore, the value for common factors is 1196.

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 = 90955352963904/(1x1196)

LCM = 90955352963904/1196

LCM = 76049626224

Thus, we can understand that the LCM of 894,368,598,671,689 is 76049626224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 894, 368, 598, 671, 689

1. What is the LCM of 894, 368, 598, 671, 689?

Answer: LCM of 894, 368, 598, 671, 689 is 76049626224.

2. How to calculate the LCM of 894, 368, 598, 671, 689?

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 894, 368, 598, 671, 689.

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}.