Find the LCM of 153, 352, 924, 642, 850 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 153, 352, 924, 642, 850. So, keep reading to learn more.
Given numbers are 153,352,924,642,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,352,924,642,850 is 1008453600.
Find LCM of 153,352,924,642,850 with Prime Factorization
2 | 153, 352, 924, 642, 850 |
2 | 153, 176, 462, 321, 425 |
3 | 153, 88, 231, 321, 425 |
11 | 51, 88, 77, 107, 425 |
17 | 51, 8, 7, 107, 425 |
3, 8, 7, 107, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 3 x 8 x 7 x 107 x 25 = 1008453600
Therefore, the lowest common multiple of 153,352,924,642,850 is 1008453600.
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.
153 x 352 x 924 x 642 x 850 = 27155638540800
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.
153 : 1, 3, 9, 17, 51, 153
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
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
642 : 1, 2, 3, 6, 107, 214, 321, 642
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,352,924,642,850, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
352:2x 2x 2x 2x 2x 11
924:2x 2x 3x 7x 11
642:2x 3x 107
850:2x 5x 5x 17
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 3x 11x 17 = 26928
Therefore, the value for common factors is 26928.
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 = 27155638540800/(1x26928)
LCM = 27155638540800/26928
LCM = 1008453600
Thus, we can understand that the LCM of 153,352,924,642,850 is 1008453600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 153, 352, 924, 642, 850?
Answer: LCM of 153, 352, 924, 642, 850 is 1008453600.
2. How to calculate the LCM of 153, 352, 924, 642, 850?
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 153, 352, 924, 642, 850.
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}.