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LCM of 653, 174, 464, 550

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


Find the LCM of 653, 174, 464, 550 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 653, 174, 464, 550. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,174,464,550

Given numbers are 653,174,464,550

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

The LCM of 653,174,464,550 is 249968400.

Find LCM of 653,174,464,550 with Prime Factorization


2 653, 174, 464, 550
29 653, 87, 232, 275
653, 3, 8, 275

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

2 x 29 x 653 x 3 x 8 x 275 = 249968400

Therefore, the lowest common multiple of 653,174,464,550 is 249968400.

LCM Formula to Find Lowest Common Multiple of 653,174,464,550

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.

653 x 174 x 464 x 550 = 28996334400

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.

653 : 1, 653

174 : 1, 2, 3, 6, 29, 58, 87, 174

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,174,464,550, is 1.

Now, the common factors can be found like this.

653:653

174:2x 3x 29

464:2x 2x 2x 2x 29

550:2x 5x 5x 11

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 29 = 116

Therefore, the value for common factors is 116.

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 = 28996334400/(1x116)

LCM = 28996334400/116

LCM = 249968400

Thus, we can understand that the LCM of 653,174,464,550 is 249968400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 653, 174, 464, 550

1. What is the LCM of 653, 174, 464, 550?

Answer: LCM of 653, 174, 464, 550 is 249968400.

2. How to calculate the LCM of 653, 174, 464, 550?

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 653, 174, 464, 550.

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}.