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LCM of 418, 120, 660, 665, 937

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


Find the LCM of 418, 120, 660, 665, 937 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 418, 120, 660, 665, 937. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,120,660,665,937

Given numbers are 418,120,660,665,937

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

The LCM of 418,120,660,665,937 is 164499720.

Find LCM of 418,120,660,665,937 with Prime Factorization


2 418, 120, 660, 665, 937
2 209, 60, 330, 665, 937
3 209, 30, 165, 665, 937
5 209, 10, 55, 665, 937
11 209, 2, 11, 133, 937
19 19, 2, 1, 133, 937
1, 2, 1, 7, 937

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

2 x 2 x 3 x 5 x 11 x 19 x 1 x 2 x 1 x 7 x 937 = 164499720

Therefore, the lowest common multiple of 418,120,660,665,937 is 164499720.

LCM Formula to Find Lowest Common Multiple of 418,120,660,665,937

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.

418 x 120 x 660 x 665 x 937 = 20628264888000

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

665 : 1, 5, 7, 19, 35, 95, 133, 665

937 : 1, 937

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,120,660,665,937, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

120:2x 2x 2x 3x 5

660:2x 2x 3x 5x 11

665:5x 7x 19

937:937

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 5x 5x 11x 19 = 125400

Therefore, the value for common factors is 125400.

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 = 20628264888000/(1x125400)

LCM = 20628264888000/125400

LCM = 164499720

Thus, we can understand that the LCM of 418,120,660,665,937 is 164499720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 120, 660, 665, 937

1. What is the LCM of 418, 120, 660, 665, 937?

Answer: LCM of 418, 120, 660, 665, 937 is 164499720.

2. How to calculate the LCM of 418, 120, 660, 665, 937?

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 418, 120, 660, 665, 937.

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}.