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LCM of 157, 523, 606, 392

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


Find the LCM of 157, 523, 606, 392 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 157, 523, 606, 392. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 157,523,606,392

Given numbers are 157,523,606,392

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

The LCM of 157,523,606,392 is 9752816136.

Find LCM of 157,523,606,392 with Prime Factorization


2 157, 523, 606, 392
157, 523, 303, 196

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

2 x 157 x 523 x 303 x 196 = 9752816136

Therefore, the lowest common multiple of 157,523,606,392 is 9752816136.

LCM Formula to Find Lowest Common Multiple of 157,523,606,392

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.

157 x 523 x 606 x 392 = 19505632272

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.

157 : 1, 157

523 : 1, 523

606 : 1, 2, 3, 6, 101, 202, 303, 606

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,523,606,392, is 1.

Now, the common factors can be found like this.

157:157

523:523

606:2x 3x 101

392:2x 2x 2x 7x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 19505632272/(1x2)

LCM = 19505632272/2

LCM = 9752816136

Thus, we can understand that the LCM of 157,523,606,392 is 9752816136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 157, 523, 606, 392

1. What is the LCM of 157, 523, 606, 392?

Answer: LCM of 157, 523, 606, 392 is 9752816136.

2. How to calculate the LCM of 157, 523, 606, 392?

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 157, 523, 606, 392.

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}.