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.
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 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.
Here are some samples of LCM of two or more Numbers calculations.
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}.