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LCM of 601, 144, 428, 765

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


Find the LCM of 601, 144, 428, 765 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, 144, 428, 765. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 601,144,428,765

Given numbers are 601,144,428,765

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

The LCM of 601,144,428,765 is 787117680.

Find LCM of 601,144,428,765 with Prime Factorization


2 601, 144, 428, 765
2 601, 72, 214, 765
3 601, 36, 107, 765
3 601, 12, 107, 255
601, 4, 107, 85

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

2 x 2 x 3 x 3 x 601 x 4 x 107 x 85 = 787117680

Therefore, the lowest common multiple of 601,144,428,765 is 787117680.

LCM Formula to Find Lowest Common Multiple of 601,144,428,765

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 144 x 428 x 765 = 28336236480

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

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

428 : 1, 2, 4, 107, 214, 428

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,144,428,765, is 1.

Now, the common factors can be found like this.

601:601

144:2x 2x 2x 2x 3x 3

428:2x 2x 107

765:3x 3x 5x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 28336236480/(1x36)

LCM = 28336236480/36

LCM = 787117680

Thus, we can understand that the LCM of 601,144,428,765 is 787117680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 601, 144, 428, 765

1. What is the LCM of 601, 144, 428, 765?

Answer: LCM of 601, 144, 428, 765 is 787117680.

2. How to calculate the LCM of 601, 144, 428, 765?

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, 144, 428, 765.

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}.