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LCM of 604, 492, 221, 372

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


Find the LCM of 604, 492, 221, 372 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 604, 492, 221, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,492,221,372

Given numbers are 604,492,221,372

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

The LCM of 604,492,221,372 is 508974492.

Find LCM of 604,492,221,372 with Prime Factorization


2 604, 492, 221, 372
2 302, 246, 221, 186
3 151, 123, 221, 93
151, 41, 221, 31

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

2 x 2 x 3 x 151 x 41 x 221 x 31 = 508974492

Therefore, the lowest common multiple of 604,492,221,372 is 508974492.

LCM Formula to Find Lowest Common Multiple of 604,492,221,372

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.

604 x 492 x 221 x 372 = 24430775616

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.

604 : 1, 2, 4, 151, 302, 604

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

221 : 1, 13, 17, 221

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,492,221,372, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

492:2x 2x 3x 41

221:13x 17

372:2x 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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 24430775616/(1x48)

LCM = 24430775616/48

LCM = 508974492

Thus, we can understand that the LCM of 604,492,221,372 is 508974492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 492, 221, 372

1. What is the LCM of 604, 492, 221, 372?

Answer: LCM of 604, 492, 221, 372 is 508974492.

2. How to calculate the LCM of 604, 492, 221, 372?

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 604, 492, 221, 372.

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}.