Find the LCM of 551, 965, 278, 973, 473 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 551, 965, 278, 973, 473. So, keep reading to learn more.
Given numbers are 551,965,278,973,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,965,278,973,473 is 489421325470.
Find LCM of 551,965,278,973,473 with Prime Factorization
139 | 551, 965, 278, 973, 473 |
551, 965, 2, 7, 473 |
Multiply the prime numbers at the bottom and the left side.
139 x 551 x 965 x 2 x 7 x 473 = 489421325470
Therefore, the lowest common multiple of 551,965,278,973,473 is 489421325470.
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.
551 x 965 x 278 x 973 x 473 = 68029564240330
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.
551 : 1, 19, 29, 551
965 : 1, 5, 193, 965
278 : 1, 2, 139, 278
973 : 1, 7, 139, 973
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,965,278,973,473, is 1.
Now, the common factors can be found like this.
551:19x 29
965:5x 193
278:2x 139
973:7x 139
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
139 = 139
Therefore, the value for common factors is 139.
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 = 68029564240330/(1x139)
LCM = 68029564240330/139
LCM = 489421325470
Thus, we can understand that the LCM of 551,965,278,973,473 is 489421325470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 965, 278, 973, 473?
Answer: LCM of 551, 965, 278, 973, 473 is 489421325470.
2. How to calculate the LCM of 551, 965, 278, 973, 473?
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 551, 965, 278, 973, 473.
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}.