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LCM of 759, 528, 938, 186

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


Find the LCM of 759, 528, 938, 186 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 759, 528, 938, 186. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 759,528,938,186

Given numbers are 759,528,938,186

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

The LCM of 759,528,938,186 is 176561616.

Find LCM of 759,528,938,186 with Prime Factorization


2 759, 528, 938, 186
3 759, 264, 469, 93
11 253, 88, 469, 31
23, 8, 469, 31

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

2 x 3 x 11 x 23 x 8 x 469 x 31 = 176561616

Therefore, the lowest common multiple of 759,528,938,186 is 176561616.

LCM Formula to Find Lowest Common Multiple of 759,528,938,186

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.

759 x 528 x 938 x 186 = 69918399936

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

938 : 1, 2, 7, 14, 67, 134, 469, 938

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,528,938,186, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

528:2x 2x 2x 2x 3x 11

938:2x 7x 67

186:2x 3x 31

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 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 69918399936/(1x396)

LCM = 69918399936/396

LCM = 176561616

Thus, we can understand that the LCM of 759,528,938,186 is 176561616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 759, 528, 938, 186

1. What is the LCM of 759, 528, 938, 186?

Answer: LCM of 759, 528, 938, 186 is 176561616.

2. How to calculate the LCM of 759, 528, 938, 186?

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 759, 528, 938, 186.

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}.