Find the LCM of 642, 971, 416, 679, 497 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 642, 971, 416, 679, 497. So, keep reading to learn more.
Given numbers are 642,971,416,679,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,971,416,679,497 is 6250945550304.
Find LCM of 642,971,416,679,497 with Prime Factorization
2 | 642, 971, 416, 679, 497 |
7 | 321, 971, 208, 679, 497 |
321, 971, 208, 97, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 321 x 971 x 208 x 97 x 71 = 6250945550304
Therefore, the lowest common multiple of 642,971,416,679,497 is 6250945550304.
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.
642 x 971 x 416 x 679 x 497 = 87513237704256
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
971 : 1, 971
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
679 : 1, 7, 97, 679
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,971,416,679,497, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
971:971
416:2x 2x 2x 2x 2x 13
679:7x 97
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 87513237704256/(1x14)
LCM = 87513237704256/14
LCM = 6250945550304
Thus, we can understand that the LCM of 642,971,416,679,497 is 6250945550304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 971, 416, 679, 497?
Answer: LCM of 642, 971, 416, 679, 497 is 6250945550304.
2. How to calculate the LCM of 642, 971, 416, 679, 497?
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 642, 971, 416, 679, 497.
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}.