LCM of 947, 435, 638, 278, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 947, 435, 638, 278, 659 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, 435, 638, 278, 659. So, keep reading to learn more.
Given numbers are 947,435,638,278,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,435,638,278,659 is 830160626790.
Find LCM of 947,435,638,278,659 with Prime Factorization
| 2 | 947, 435, 638, 278, 659 |
| 29 | 947, 435, 319, 139, 659 |
| 947, 15, 11, 139, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 947 x 15 x 11 x 139 x 659 = 830160626790
Therefore, the lowest common multiple of 947,435,638,278,659 is 830160626790.
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 435 x 638 x 278 x 659 = 48149316353820
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
435 : 1, 3, 5, 15, 29, 87, 145, 435
638 : 1, 2, 11, 22, 29, 58, 319, 638
278 : 1, 2, 139, 278
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,435,638,278,659, is 1.
Now, the common factors can be found like this.
947:947
435:3x 5x 29
638:2x 11x 29
278:2x 139
659:659
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 48149316353820/(1x58)
LCM = 48149316353820/58
LCM = 830160626790
Thus, we can understand that the LCM of 947,435,638,278,659 is 830160626790.
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, 435, 638, 278, 659
1. What is the LCM of 947, 435, 638, 278, 659?
Answer: LCM of 947, 435, 638, 278, 659 is 830160626790.
2. How to calculate the LCM of 947, 435, 638, 278, 659?
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, 435, 638, 278, 659.
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}.