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LCM of 152, 992, 217, 574

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


Find the LCM of 152, 992, 217, 574 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, 992, 217, 574. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 152,992,217,574

Given numbers are 152,992,217,574

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

The LCM of 152,992,217,574 is 5409376.

Find LCM of 152,992,217,574 with Prime Factorization


2 152, 992, 217, 574
2 76, 496, 217, 287
2 38, 248, 217, 287
7 19, 124, 217, 287
31 19, 124, 31, 41
19, 4, 1, 41

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

2 x 2 x 2 x 7 x 31 x 19 x 4 x 1 x 41 = 5409376

Therefore, the lowest common multiple of 152,992,217,574 is 5409376.

LCM Formula to Find Lowest Common Multiple of 152,992,217,574

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 992 x 217 x 574 = 18781353472

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

217 : 1, 7, 31, 217

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,992,217,574, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

992:2x 2x 2x 2x 2x 31

217:7x 31

574:2x 7x 41

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 7x 31 = 3472

Therefore, the value for common factors is 3472.

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 = 18781353472/(1x3472)

LCM = 18781353472/3472

LCM = 5409376

Thus, we can understand that the LCM of 152,992,217,574 is 5409376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 152, 992, 217, 574

1. What is the LCM of 152, 992, 217, 574?

Answer: LCM of 152, 992, 217, 574 is 5409376.

2. How to calculate the LCM of 152, 992, 217, 574?

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, 992, 217, 574.

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}.