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LCM of 667, 283, 375, 220

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


Find the LCM of 667, 283, 375, 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 667, 283, 375, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,283,375,220

Given numbers are 667,283,375,220

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

The LCM of 667,283,375,220 is 3114556500.

Find LCM of 667,283,375,220 with Prime Factorization


5 667, 283, 375, 220
667, 283, 75, 44

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

5 x 667 x 283 x 75 x 44 = 3114556500

Therefore, the lowest common multiple of 667,283,375,220 is 3114556500.

LCM Formula to Find Lowest Common Multiple of 667,283,375,220

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.

667 x 283 x 375 x 220 = 15572782500

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.

667 : 1, 23, 29, 667

283 : 1, 283

375 : 1, 3, 5, 15, 25, 75, 125, 375

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 667,283,375,220, is 1.

Now, the common factors can be found like this.

667:23x 29

283:283

375:3x 5x 5x 5

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.

5 = 5

Therefore, the value for common factors is 5.

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 = 15572782500/(1x5)

LCM = 15572782500/5

LCM = 3114556500

Thus, we can understand that the LCM of 667,283,375,220 is 3114556500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 283, 375, 220

1. What is the LCM of 667, 283, 375, 220?

Answer: LCM of 667, 283, 375, 220 is 3114556500.

2. How to calculate the LCM of 667, 283, 375, 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 667, 283, 375, 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}.