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LCM of 220, 635, 550, 597

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


Find the LCM of 220, 635, 550, 597 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 220, 635, 550, 597. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,635,550,597

Given numbers are 220,635,550,597

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

The LCM of 220,635,550,597 is 83400900.

Find LCM of 220,635,550,597 with Prime Factorization


2 220, 635, 550, 597
5 110, 635, 275, 597
11 22, 127, 55, 597
2, 127, 5, 597

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

2 x 5 x 11 x 2 x 127 x 5 x 597 = 83400900

Therefore, the lowest common multiple of 220,635,550,597 is 83400900.

LCM Formula to Find Lowest Common Multiple of 220,635,550,597

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.

220 x 635 x 550 x 597 = 45870495000

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.

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

635 : 1, 5, 127, 635

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

597 : 1, 3, 199, 597

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,635,550,597, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

635:5x 127

550:2x 5x 5x 11

597:3x 199

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

2x 5x 5x 11 = 550

Therefore, the value for common factors is 550.

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 = 45870495000/(1x550)

LCM = 45870495000/550

LCM = 83400900

Thus, we can understand that the LCM of 220,635,550,597 is 83400900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 635, 550, 597

1. What is the LCM of 220, 635, 550, 597?

Answer: LCM of 220, 635, 550, 597 is 83400900.

2. How to calculate the LCM of 220, 635, 550, 597?

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 220, 635, 550, 597.

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}.