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LCM of 152, 923, 897, 619

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


Find the LCM of 152, 923, 897, 619 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 152, 923, 897, 619. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 152,923,897,619

Given numbers are 152,923,897,619

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

The LCM of 152,923,897,619 is 5992182456.

Find LCM of 152,923,897,619 with Prime Factorization


13 152, 923, 897, 619
152, 71, 69, 619

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

13 x 152 x 71 x 69 x 619 = 5992182456

Therefore, the lowest common multiple of 152,923,897,619 is 5992182456.

LCM Formula to Find Lowest Common Multiple of 152,923,897,619

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.

152 x 923 x 897 x 619 = 77898371928

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

923 : 1, 13, 71, 923

897 : 1, 3, 13, 23, 39, 69, 299, 897

619 : 1, 619

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,923,897,619, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

923:13x 71

897:3x 13x 23

619:619

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

13 = 13

Therefore, the value for common factors is 13.

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 = 77898371928/(1x13)

LCM = 77898371928/13

LCM = 5992182456

Thus, we can understand that the LCM of 152,923,897,619 is 5992182456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 152, 923, 897, 619

1. What is the LCM of 152, 923, 897, 619?

Answer: LCM of 152, 923, 897, 619 is 5992182456.

2. How to calculate the LCM of 152, 923, 897, 619?

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 152, 923, 897, 619.

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}.