Find the LCM of 760, 432, 535, 975, 557 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 760, 432, 535, 975, 557. So, keep reading to learn more.
Given numbers are 760,432,535,975,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,432,535,975,557 is 158986292400.
Find LCM of 760,432,535,975,557 with Prime Factorization
2 | 760, 432, 535, 975, 557 |
2 | 380, 216, 535, 975, 557 |
2 | 190, 108, 535, 975, 557 |
3 | 95, 54, 535, 975, 557 |
5 | 95, 18, 535, 325, 557 |
19, 18, 107, 65, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 18 x 107 x 65 x 557 = 158986292400
Therefore, the lowest common multiple of 760,432,535,975,557 is 158986292400.
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.
760 x 432 x 535 x 975 x 557 = 95391775440000
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
535 : 1, 5, 107, 535
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,432,535,975,557, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
432:2x 2x 2x 2x 3x 3x 3
535:5x 107
975:3x 5x 5x 13
557:557
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 95391775440000/(1x600)
LCM = 95391775440000/600
LCM = 158986292400
Thus, we can understand that the LCM of 760,432,535,975,557 is 158986292400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 760, 432, 535, 975, 557?
Answer: LCM of 760, 432, 535, 975, 557 is 158986292400.
2. How to calculate the LCM of 760, 432, 535, 975, 557?
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 760, 432, 535, 975, 557.
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}.