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LCM of 775, 551, 129, 420, 774

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


Find the LCM of 775, 551, 129, 420, 774 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 775, 551, 129, 420, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 775,551,129,420,774

Given numbers are 775,551,129,420,774

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

The LCM of 775,551,129,420,774 is 4627242900.

Find LCM of 775,551,129,420,774 with Prime Factorization


2 775, 551, 129, 420, 774
3 775, 551, 129, 210, 387
5 775, 551, 43, 70, 129
43 155, 551, 43, 14, 129
155, 551, 1, 14, 3

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

2 x 3 x 5 x 43 x 155 x 551 x 1 x 14 x 3 = 4627242900

Therefore, the lowest common multiple of 775,551,129,420,774 is 4627242900.

LCM Formula to Find Lowest Common Multiple of 775,551,129,420,774

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.

775 x 551 x 129 x 420 x 774 = 17907430023000

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.

775 : 1, 5, 25, 31, 155, 775

551 : 1, 19, 29, 551

129 : 1, 3, 43, 129

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,551,129,420,774, is 1.

Now, the common factors can be found like this.

775:5x 5x 31

551:19x 29

129:3x 43

420:2x 2x 3x 5x 7

774:2x 3x 3x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 43 = 3870

Therefore, the value for common factors is 3870.

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 = 17907430023000/(1x3870)

LCM = 17907430023000/3870

LCM = 4627242900

Thus, we can understand that the LCM of 775,551,129,420,774 is 4627242900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 775, 551, 129, 420, 774

1. What is the LCM of 775, 551, 129, 420, 774?

Answer: LCM of 775, 551, 129, 420, 774 is 4627242900.

2. How to calculate the LCM of 775, 551, 129, 420, 774?

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 775, 551, 129, 420, 774.

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}.