LCM of 606, 878, 924, 364, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 878, 924, 364, 607 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 606, 878, 924, 364, 607. So, keep reading to learn more.
Given numbers are 606,878,924,364,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,878,924,364,607 is 323288241276.
Find LCM of 606,878,924,364,607 with Prime Factorization
| 2 | 606, 878, 924, 364, 607 |
| 2 | 303, 439, 462, 182, 607 |
| 3 | 303, 439, 231, 91, 607 |
| 7 | 101, 439, 77, 91, 607 |
| 101, 439, 11, 13, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 101 x 439 x 11 x 13 x 607 = 323288241276
Therefore, the lowest common multiple of 606,878,924,364,607 is 323288241276.
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.
606 x 878 x 924 x 364 x 607 = 108624849068736
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
878 : 1, 2, 439, 878
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,878,924,364,607, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
878:2x 439
924:2x 2x 3x 7x 11
364:2x 2x 7x 13
607:607
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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 108624849068736/(1x336)
LCM = 108624849068736/336
LCM = 323288241276
Thus, we can understand that the LCM of 606,878,924,364,607 is 323288241276.
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FAQs on LCM of 606, 878, 924, 364, 607
1. What is the LCM of 606, 878, 924, 364, 607?
Answer: LCM of 606, 878, 924, 364, 607 is 323288241276.
2. How to calculate the LCM of 606, 878, 924, 364, 607?
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 606, 878, 924, 364, 607.
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}.