Find the LCM of 153, 763, 270, 737, 435 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 153, 763, 270, 737, 435. So, keep reading to learn more.
Given numbers are 153,763,270,737,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,763,270,737,435 is 74851879410.
Find LCM of 153,763,270,737,435 with Prime Factorization
3 | 153, 763, 270, 737, 435 |
3 | 51, 763, 90, 737, 145 |
5 | 17, 763, 30, 737, 145 |
17, 763, 6, 737, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 763 x 6 x 737 x 29 = 74851879410
Therefore, the lowest common multiple of 153,763,270,737,435 is 74851879410.
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.
153 x 763 x 270 x 737 x 435 = 10105003720350
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.
153 : 1, 3, 9, 17, 51, 153
763 : 1, 7, 109, 763
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
737 : 1, 11, 67, 737
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,763,270,737,435, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
763:7x 109
270:2x 3x 3x 3x 5
737:11x 67
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 10105003720350/(1x135)
LCM = 10105003720350/135
LCM = 74851879410
Thus, we can understand that the LCM of 153,763,270,737,435 is 74851879410.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 153, 763, 270, 737, 435?
Answer: LCM of 153, 763, 270, 737, 435 is 74851879410.
2. How to calculate the LCM of 153, 763, 270, 737, 435?
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 153, 763, 270, 737, 435.
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}.