Find the LCM of 551, 319, 679, 679, 576 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, 319, 679, 679, 576. So, keep reading to learn more.
Given numbers are 551,319,679,679,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,319,679,679,576 is 2370481344.
Find LCM of 551,319,679,679,576 with Prime Factorization
7 | 551, 319, 679, 679, 576 |
29 | 551, 319, 97, 97, 576 |
97 | 19, 11, 97, 97, 576 |
19, 11, 1, 1, 576 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 97 x 19 x 11 x 1 x 1 x 576 = 2370481344
Therefore, the lowest common multiple of 551,319,679,679,576 is 2370481344.
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 319 x 679 x 679 x 576 = 46677148144704
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
319 : 1, 11, 29, 319
679 : 1, 7, 97, 679
679 : 1, 7, 97, 679
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,319,679,679,576, is 1.
Now, the common factors can be found like this.
551:19x 29
319:11x 29
679:7x 97
679:7x 97
576:2x 2x 2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 29x 97 = 19691
Therefore, the value for common factors is 19691.
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 = 46677148144704/(1x19691)
LCM = 46677148144704/19691
LCM = 2370481344
Thus, we can understand that the LCM of 551,319,679,679,576 is 2370481344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 319, 679, 679, 576?
Answer: LCM of 551, 319, 679, 679, 576 is 2370481344.
2. How to calculate the LCM of 551, 319, 679, 679, 576?
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, 319, 679, 679, 576.
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}.