LCM of 346, 396, 701, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 396, 701, 624 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, 396, 701, 624. So, keep reading to learn more.
Given numbers are 346,396,701,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,396,701,624 is 2497253616.
Find LCM of 346,396,701,624 with Prime Factorization
| 2 | 346, 396, 701, 624 |
| 2 | 173, 198, 701, 312 |
| 3 | 173, 99, 701, 156 |
| 173, 33, 701, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 173 x 33 x 701 x 52 = 2497253616
Therefore, the lowest common multiple of 346,396,701,624 is 2497253616.
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 396 x 701 x 624 = 59934086784
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
701 : 1, 701
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,396,701,624, is 1.
Now, the common factors can be found like this.
346:2x 173
396:2x 2x 3x 3x 11
701:701
624:2x 2x 2x 2x 3x 13
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 3 = 24
Therefore, the value for common factors is 24.
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 = 59934086784/(1x24)
LCM = 59934086784/24
LCM = 2497253616
Thus, we can understand that the LCM of 346,396,701,624 is 2497253616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 346, 396, 701, 624
1. What is the LCM of 346, 396, 701, 624?
Answer: LCM of 346, 396, 701, 624 is 2497253616.
2. How to calculate the LCM of 346, 396, 701, 624?
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, 396, 701, 624.
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}.