LCM of 346, 119, 362, 448, 248
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 119, 362, 448, 248 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 346, 119, 362, 448, 248. So, keep reading to learn more.
Given numbers are 346,119,362,448,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,119,362,448,248 is 7392874048.
Find LCM of 346,119,362,448,248 with Prime Factorization
| 2 | 346, 119, 362, 448, 248 |
| 2 | 173, 119, 181, 224, 124 |
| 2 | 173, 119, 181, 112, 62 |
| 7 | 173, 119, 181, 56, 31 |
| 173, 17, 181, 8, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 173 x 17 x 181 x 8 x 31 = 7392874048
Therefore, the lowest common multiple of 346,119,362,448,248 is 7392874048.
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.
346 x 119 x 362 x 448 x 248 = 1656003786752
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.
346 : 1, 2, 173, 346
119 : 1, 7, 17, 119
362 : 1, 2, 181, 362
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,119,362,448,248, is 1.
Now, the common factors can be found like this.
346:2x 173
119:7x 17
362:2x 181
448:2x 2x 2x 2x 2x 2x 7
248:2x 2x 2x 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 7 = 224
Therefore, the value for common factors is 224.
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 = 1656003786752/(1x224)
LCM = 1656003786752/224
LCM = 7392874048
Thus, we can understand that the LCM of 346,119,362,448,248 is 7392874048.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 346, 119, 362, 448, 248
1. What is the LCM of 346, 119, 362, 448, 248?
Answer: LCM of 346, 119, 362, 448, 248 is 7392874048.
2. How to calculate the LCM of 346, 119, 362, 448, 248?
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 346, 119, 362, 448, 248.
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}.