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LCM of 220, 680, 613, 992

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


Find the LCM of 220, 680, 613, 992 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, 680, 613, 992. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,680,613,992

Given numbers are 220,680,613,992

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

The LCM of 220,680,613,992 is 568569760.

Find LCM of 220,680,613,992 with Prime Factorization


2 220, 680, 613, 992
2 110, 340, 613, 496
2 55, 170, 613, 248
5 55, 85, 613, 124
11, 17, 613, 124

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

2 x 2 x 2 x 5 x 11 x 17 x 613 x 124 = 568569760

Therefore, the lowest common multiple of 220,680,613,992 is 568569760.

LCM Formula to Find Lowest Common Multiple of 220,680,613,992

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 680 x 613 x 992 = 90971161600

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

613 : 1, 613

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,680,613,992, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

680:2x 2x 2x 5x 17

613:613

992:2x 2x 2x 2x 2x 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 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 90971161600/(1x160)

LCM = 90971161600/160

LCM = 568569760

Thus, we can understand that the LCM of 220,680,613,992 is 568569760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 680, 613, 992

1. What is the LCM of 220, 680, 613, 992?

Answer: LCM of 220, 680, 613, 992 is 568569760.

2. How to calculate the LCM of 220, 680, 613, 992?

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, 680, 613, 992.

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}.