LCM of 343, 716, 299, 354, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 716, 299, 354, 276 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 343, 716, 299, 354, 276. So, keep reading to learn more.
Given numbers are 343,716,299,354,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,716,299,354,276 is 12997253724.
Find LCM of 343,716,299,354,276 with Prime Factorization
| 2 | 343, 716, 299, 354, 276 |
| 2 | 343, 358, 299, 177, 138 |
| 3 | 343, 179, 299, 177, 69 |
| 23 | 343, 179, 299, 59, 23 |
| 343, 179, 13, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 343 x 179 x 13 x 59 x 1 = 12997253724
Therefore, the lowest common multiple of 343,716,299,354,276 is 12997253724.
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.
343 x 716 x 299 x 354 x 276 = 7174484055648
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.
343 : 1, 7, 49, 343
716 : 1, 2, 4, 179, 358, 716
299 : 1, 13, 23, 299
354 : 1, 2, 3, 6, 59, 118, 177, 354
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,716,299,354,276, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
716:2x 2x 179
299:13x 23
354:2x 3x 59
276:2x 2x 3x 23
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 7174484055648/(1x552)
LCM = 7174484055648/552
LCM = 12997253724
Thus, we can understand that the LCM of 343,716,299,354,276 is 12997253724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 343, 716, 299, 354, 276
1. What is the LCM of 343, 716, 299, 354, 276?
Answer: LCM of 343, 716, 299, 354, 276 is 12997253724.
2. How to calculate the LCM of 343, 716, 299, 354, 276?
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 343, 716, 299, 354, 276.
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}.