Find the LCM of 757, 664, 836, 587, 242 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 757, 664, 836, 587, 242. So, keep reading to learn more.
Given numbers are 757,664,836,587,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,664,836,587,242 is 678330010424.
Find LCM of 757,664,836,587,242 with Prime Factorization
2 | 757, 664, 836, 587, 242 |
2 | 757, 332, 418, 587, 121 |
11 | 757, 166, 209, 587, 121 |
757, 166, 19, 587, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 757 x 166 x 19 x 587 x 11 = 678330010424
Therefore, the lowest common multiple of 757,664,836,587,242 is 678330010424.
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.
757 x 664 x 836 x 587 x 242 = 59693040917312
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.
757 : 1, 757
664 : 1, 2, 4, 8, 83, 166, 332, 664
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
587 : 1, 587
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,664,836,587,242, is 1.
Now, the common factors can be found like this.
757:757
664:2x 2x 2x 83
836:2x 2x 11x 19
587:587
242:2x 11x 11
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 11 = 88
Therefore, the value for common factors is 88.
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 = 59693040917312/(1x88)
LCM = 59693040917312/88
LCM = 678330010424
Thus, we can understand that the LCM of 757,664,836,587,242 is 678330010424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 757, 664, 836, 587, 242?
Answer: LCM of 757, 664, 836, 587, 242 is 678330010424.
2. How to calculate the LCM of 757, 664, 836, 587, 242?
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 757, 664, 836, 587, 242.
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}.