Find the LCM of 158, 276, 713, 832, 620 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 158, 276, 713, 832, 620. So, keep reading to learn more.
Given numbers are 158,276,713,832,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,276,713,832,620 is 702960960.
Find LCM of 158,276,713,832,620 with Prime Factorization
2 | 158, 276, 713, 832, 620 |
2 | 79, 138, 713, 416, 310 |
23 | 79, 69, 713, 208, 155 |
31 | 79, 3, 31, 208, 155 |
79, 3, 1, 208, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 31 x 79 x 3 x 1 x 208 x 5 = 702960960
Therefore, the lowest common multiple of 158,276,713,832,620 is 702960960.
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.
158 x 276 x 713 x 832 x 620 = 16038757263360
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.
158 : 1, 2, 79, 158
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
713 : 1, 23, 31, 713
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,276,713,832,620, is 1.
Now, the common factors can be found like this.
158:2x 79
276:2x 2x 3x 23
713:23x 31
832:2x 2x 2x 2x 2x 2x 13
620:2x 2x 5x 31
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 2x 23x 31 = 22816
Therefore, the value for common factors is 22816.
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 = 16038757263360/(1x22816)
LCM = 16038757263360/22816
LCM = 702960960
Thus, we can understand that the LCM of 158,276,713,832,620 is 702960960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 158, 276, 713, 832, 620?
Answer: LCM of 158, 276, 713, 832, 620 is 702960960.
2. How to calculate the LCM of 158, 276, 713, 832, 620?
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 158, 276, 713, 832, 620.
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}.