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LCM of 775, 435, 551, 769

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


Find the LCM of 775, 435, 551, 769 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, 435, 551, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 775,435,551,769

Given numbers are 775,435,551,769

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

The LCM of 775,435,551,769 is 985146675.

Find LCM of 775,435,551,769 with Prime Factorization


5 775, 435, 551, 769
29 155, 87, 551, 769
155, 3, 19, 769

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

5 x 29 x 155 x 3 x 19 x 769 = 985146675

Therefore, the lowest common multiple of 775,435,551,769 is 985146675.

LCM Formula to Find Lowest Common Multiple of 775,435,551,769

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 435 x 551 x 769 = 142846267875

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

435 : 1, 3, 5, 15, 29, 87, 145, 435

551 : 1, 19, 29, 551

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,435,551,769, is 1.

Now, the common factors can be found like this.

775:5x 5x 31

435:3x 5x 29

551:19x 29

769:769

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

5x 29 = 145

Therefore, the value for common factors is 145.

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 = 142846267875/(1x145)

LCM = 142846267875/145

LCM = 985146675

Thus, we can understand that the LCM of 775,435,551,769 is 985146675.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 775, 435, 551, 769

1. What is the LCM of 775, 435, 551, 769?

Answer: LCM of 775, 435, 551, 769 is 985146675.

2. How to calculate the LCM of 775, 435, 551, 769?

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, 435, 551, 769.

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}.