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LCM of 666, 657, 220, 146, 614

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


Find the LCM of 666, 657, 220, 146, 614 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 666, 657, 220, 146, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 666,657,220,146,614

Given numbers are 666,657,220,146,614

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

The LCM of 666,657,220,146,614 is 1641829860.

Find LCM of 666,657,220,146,614 with Prime Factorization


2 666, 657, 220, 146, 614
3 333, 657, 110, 73, 307
3 111, 219, 110, 73, 307
73 37, 73, 110, 73, 307
37, 1, 110, 1, 307

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

2 x 3 x 3 x 73 x 37 x 1 x 110 x 1 x 307 = 1641829860

Therefore, the lowest common multiple of 666,657,220,146,614 is 1641829860.

LCM Formula to Find Lowest Common Multiple of 666,657,220,146,614

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.

666 x 657 x 220 x 146 x 614 = 8629457744160

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.

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

657 : 1, 3, 9, 73, 219, 657

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

146 : 1, 2, 73, 146

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,657,220,146,614, is 1.

Now, the common factors can be found like this.

666:2x 3x 3x 37

657:3x 3x 73

220:2x 2x 5x 11

146:2x 73

614:2x 307

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 3x 3x 73 = 5256

Therefore, the value for common factors is 5256.

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 = 8629457744160/(1x5256)

LCM = 8629457744160/5256

LCM = 1641829860

Thus, we can understand that the LCM of 666,657,220,146,614 is 1641829860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 666, 657, 220, 146, 614

1. What is the LCM of 666, 657, 220, 146, 614?

Answer: LCM of 666, 657, 220, 146, 614 is 1641829860.

2. How to calculate the LCM of 666, 657, 220, 146, 614?

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 666, 657, 220, 146, 614.

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}.