LCM of 958, 373, 928, 812, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 373, 928, 812, 348 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 958, 373, 928, 812, 348. So, keep reading to learn more.
Given numbers are 958,373,928,812,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,373,928,812,348 is 3481862496.
Find LCM of 958,373,928,812,348 with Prime Factorization
| 2 | 958, 373, 928, 812, 348 |
| 2 | 479, 373, 464, 406, 174 |
| 29 | 479, 373, 232, 203, 87 |
| 479, 373, 8, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 479 x 373 x 8 x 7 x 3 = 3481862496
Therefore, the lowest common multiple of 958,373,928,812,348 is 3481862496.
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.
958 x 373 x 928 x 812 x 348 = 93703883492352
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.
958 : 1, 2, 479, 958
373 : 1, 373
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,373,928,812,348, is 1.
Now, the common factors can be found like this.
958:2x 479
373:373
928:2x 2x 2x 2x 2x 29
812:2x 2x 7x 29
348:2x 2x 3x 29
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 29x 29 = 26912
Therefore, the value for common factors is 26912.
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 = 93703883492352/(1x26912)
LCM = 93703883492352/26912
LCM = 3481862496
Thus, we can understand that the LCM of 958,373,928,812,348 is 3481862496.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 958, 373, 928, 812, 348
1. What is the LCM of 958, 373, 928, 812, 348?
Answer: LCM of 958, 373, 928, 812, 348 is 3481862496.
2. How to calculate the LCM of 958, 373, 928, 812, 348?
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 958, 373, 928, 812, 348.
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}.