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LCM of 934, 524, 689, 854

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


Find the LCM of 934, 524, 689, 854 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 934, 524, 689, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 934,524,689,854

Given numbers are 934,524,689,854

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

The LCM of 934,524,689,854 is 71993827724.

Find LCM of 934,524,689,854 with Prime Factorization


2 934, 524, 689, 854
467, 262, 689, 427

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

2 x 467 x 262 x 689 x 427 = 71993827724

Therefore, the lowest common multiple of 934,524,689,854 is 71993827724.

LCM Formula to Find Lowest Common Multiple of 934,524,689,854

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.

934 x 524 x 689 x 854 = 287975310896

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.

934 : 1, 2, 467, 934

524 : 1, 2, 4, 131, 262, 524

689 : 1, 13, 53, 689

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,524,689,854, is 1.

Now, the common factors can be found like this.

934:2x 467

524:2x 2x 131

689:13x 53

854:2x 7x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 287975310896/(1x4)

LCM = 287975310896/4

LCM = 71993827724

Thus, we can understand that the LCM of 934,524,689,854 is 71993827724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 934, 524, 689, 854

1. What is the LCM of 934, 524, 689, 854?

Answer: LCM of 934, 524, 689, 854 is 71993827724.

2. How to calculate the LCM of 934, 524, 689, 854?

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 934, 524, 689, 854.

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}.