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LCM of 601, 608, 480, 918

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


Find the LCM of 601, 608, 480, 918 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 601, 608, 480, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 601,608,480,918

Given numbers are 601,608,480,918

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

The LCM of 601,608,480,918 is 838611360.

Find LCM of 601,608,480,918 with Prime Factorization


2 601, 608, 480, 918
2 601, 304, 240, 459
2 601, 152, 120, 459
2 601, 76, 60, 459
2 601, 38, 30, 459
3 601, 19, 15, 459
601, 19, 5, 153

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

2 x 2 x 2 x 2 x 2 x 3 x 601 x 19 x 5 x 153 = 838611360

Therefore, the lowest common multiple of 601,608,480,918 is 838611360.

LCM Formula to Find Lowest Common Multiple of 601,608,480,918

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.

601 x 608 x 480 x 918 = 161013381120

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.

601 : 1, 601

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,608,480,918, is 1.

Now, the common factors can be found like this.

601:601

608:2x 2x 2x 2x 2x 19

480:2x 2x 2x 2x 2x 3x 5

918:2x 3x 3x 3x 17

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 161013381120/(1x192)

LCM = 161013381120/192

LCM = 838611360

Thus, we can understand that the LCM of 601,608,480,918 is 838611360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 601, 608, 480, 918

1. What is the LCM of 601, 608, 480, 918?

Answer: LCM of 601, 608, 480, 918 is 838611360.

2. How to calculate the LCM of 601, 608, 480, 918?

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 601, 608, 480, 918.

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}.