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LCM of 153, 431, 957, 642

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


Find the LCM of 153, 431, 957, 642 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 153, 431, 957, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 153,431,957,642

Given numbers are 153,431,957,642

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

The LCM of 153,431,957,642 is 4501664838.

Find LCM of 153,431,957,642 with Prime Factorization


3 153, 431, 957, 642
51, 431, 319, 214

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

3 x 51 x 431 x 319 x 214 = 4501664838

Therefore, the lowest common multiple of 153,431,957,642 is 4501664838.

LCM Formula to Find Lowest Common Multiple of 153,431,957,642

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.

153 x 431 x 957 x 642 = 40514983542

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.

153 : 1, 3, 9, 17, 51, 153

431 : 1, 431

957 : 1, 3, 11, 29, 33, 87, 319, 957

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,431,957,642, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

431:431

957:3x 11x 29

642:2x 3x 107

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 40514983542/(1x9)

LCM = 40514983542/9

LCM = 4501664838

Thus, we can understand that the LCM of 153,431,957,642 is 4501664838.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 153, 431, 957, 642

1. What is the LCM of 153, 431, 957, 642?

Answer: LCM of 153, 431, 957, 642 is 4501664838.

2. How to calculate the LCM of 153, 431, 957, 642?

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 153, 431, 957, 642.

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}.