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LCM of 535, 754, 429, 769, 541

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


Find the LCM of 535, 754, 429, 769, 541 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 535, 754, 429, 769, 541. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,754,429,769,541

Given numbers are 535,754,429,769,541

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

The LCM of 535,754,429,769,541 is 5538123964230.

Find LCM of 535,754,429,769,541 with Prime Factorization


13 535, 754, 429, 769, 541
535, 58, 33, 769, 541

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

13 x 535 x 58 x 33 x 769 x 541 = 5538123964230

Therefore, the lowest common multiple of 535,754,429,769,541 is 5538123964230.

LCM Formula to Find Lowest Common Multiple of 535,754,429,769,541

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.

535 x 754 x 429 x 769 x 541 = 71995611534990

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.

535 : 1, 5, 107, 535

754 : 1, 2, 13, 26, 29, 58, 377, 754

429 : 1, 3, 11, 13, 33, 39, 143, 429

769 : 1, 769

541 : 1, 541

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,754,429,769,541, is 1.

Now, the common factors can be found like this.

535:5x 107

754:2x 13x 29

429:3x 11x 13

769:769

541:541

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

13 = 13

Therefore, the value for common factors is 13.

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 = 71995611534990/(1x13)

LCM = 71995611534990/13

LCM = 5538123964230

Thus, we can understand that the LCM of 535,754,429,769,541 is 5538123964230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 754, 429, 769, 541

1. What is the LCM of 535, 754, 429, 769, 541?

Answer: LCM of 535, 754, 429, 769, 541 is 5538123964230.

2. How to calculate the LCM of 535, 754, 429, 769, 541?

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 535, 754, 429, 769, 541.

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}.