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LCM of 934, 186, 852, 483, 828

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


Find the LCM of 934, 186, 852, 483, 828 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, 186, 852, 483, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 934,186,852,483,828

Given numbers are 934,186,852,483,828

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

The LCM of 934,186,852,483,828 is 5957517132.

Find LCM of 934,186,852,483,828 with Prime Factorization


2 934, 186, 852, 483, 828
2 467, 93, 426, 483, 414
3 467, 93, 213, 483, 207
23 467, 31, 71, 161, 69
467, 31, 71, 7, 3

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

2 x 2 x 3 x 23 x 467 x 31 x 71 x 7 x 3 = 5957517132

Therefore, the lowest common multiple of 934,186,852,483,828 is 5957517132.

LCM Formula to Find Lowest Common Multiple of 934,186,852,483,828

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 186 x 852 x 483 x 828 = 59193890223552

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

186 : 1, 2, 3, 6, 31, 62, 93, 186

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

483 : 1, 3, 7, 21, 23, 69, 161, 483

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,186,852,483,828, is 1.

Now, the common factors can be found like this.

934:2x 467

186:2x 3x 31

852:2x 2x 3x 71

483:3x 7x 23

828:2x 2x 3x 3x 23

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 23 = 9936

Therefore, the value for common factors is 9936.

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 = 59193890223552/(1x9936)

LCM = 59193890223552/9936

LCM = 5957517132

Thus, we can understand that the LCM of 934,186,852,483,828 is 5957517132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 934, 186, 852, 483, 828

1. What is the LCM of 934, 186, 852, 483, 828?

Answer: LCM of 934, 186, 852, 483, 828 is 5957517132.

2. How to calculate the LCM of 934, 186, 852, 483, 828?

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, 186, 852, 483, 828.

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}.