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LCM of 698, 596, 573, 220

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


Find the LCM of 698, 596, 573, 220 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 698, 596, 573, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 698,596,573,220

Given numbers are 698,596,573,220

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

The LCM of 698,596,573,220 is 6555246060.

Find LCM of 698,596,573,220 with Prime Factorization


2 698, 596, 573, 220
2 349, 298, 573, 110
349, 149, 573, 55

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

2 x 2 x 349 x 149 x 573 x 55 = 6555246060

Therefore, the lowest common multiple of 698,596,573,220 is 6555246060.

LCM Formula to Find Lowest Common Multiple of 698,596,573,220

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.

698 x 596 x 573 x 220 = 52441968480

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.

698 : 1, 2, 349, 698

596 : 1, 2, 4, 149, 298, 596

573 : 1, 3, 191, 573

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,596,573,220, is 1.

Now, the common factors can be found like this.

698:2x 349

596:2x 2x 149

573:3x 191

220:2x 2x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 52441968480/(1x8)

LCM = 52441968480/8

LCM = 6555246060

Thus, we can understand that the LCM of 698,596,573,220 is 6555246060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 698, 596, 573, 220

1. What is the LCM of 698, 596, 573, 220?

Answer: LCM of 698, 596, 573, 220 is 6555246060.

2. How to calculate the LCM of 698, 596, 573, 220?

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 698, 596, 573, 220.

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}.