LCM of 947, 165, 749, 528, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 947, 165, 749, 528, 642 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 947, 165, 749, 528, 642. So, keep reading to learn more.
Given numbers are 947,165,749,528,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,165,749,528,642 is 1872559920.
Find LCM of 947,165,749,528,642 with Prime Factorization
| 2 | 947, 165, 749, 528, 642 |
| 3 | 947, 165, 749, 264, 321 |
| 11 | 947, 55, 749, 88, 107 |
| 107 | 947, 5, 749, 8, 107 |
| 947, 5, 7, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 107 x 947 x 5 x 7 x 8 x 1 = 1872559920
Therefore, the lowest common multiple of 947,165,749,528,642 is 1872559920.
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.
947 x 165 x 749 x 528 x 642 = 39672054465120
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.
947 : 1, 947
165 : 1, 3, 5, 11, 15, 33, 55, 165
749 : 1, 7, 107, 749
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,165,749,528,642, is 1.
Now, the common factors can be found like this.
947:947
165:3x 5x 11
749:7x 107
528:2x 2x 2x 2x 3x 11
642:2x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 107 = 21186
Therefore, the value for common factors is 21186.
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 = 39672054465120/(1x21186)
LCM = 39672054465120/21186
LCM = 1872559920
Thus, we can understand that the LCM of 947,165,749,528,642 is 1872559920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 947, 165, 749, 528, 642
1. What is the LCM of 947, 165, 749, 528, 642?
Answer: LCM of 947, 165, 749, 528, 642 is 1872559920.
2. How to calculate the LCM of 947, 165, 749, 528, 642?
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 947, 165, 749, 528, 642.
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}.