LCM of 714, 120, 353, 456, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 120, 353, 456, 313 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 714, 120, 353, 456, 313. So, keep reading to learn more.
Given numbers are 714,120,353,456,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,120,353,456,313 is 29977875480.
Find LCM of 714,120,353,456,313 with Prime Factorization
| 2 | 714, 120, 353, 456, 313 |
| 2 | 357, 60, 353, 228, 313 |
| 2 | 357, 30, 353, 114, 313 |
| 3 | 357, 15, 353, 57, 313 |
| 119, 5, 353, 19, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 119 x 5 x 353 x 19 x 313 = 29977875480
Therefore, the lowest common multiple of 714,120,353,456,313 is 29977875480.
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.
714 x 120 x 353 x 456 x 313 = 4316814069120
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
353 : 1, 353
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,120,353,456,313, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
120:2x 2x 2x 3x 5
353:353
456:2x 2x 2x 3x 19
313:313
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 4316814069120/(1x144)
LCM = 4316814069120/144
LCM = 29977875480
Thus, we can understand that the LCM of 714,120,353,456,313 is 29977875480.
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FAQs on LCM of 714, 120, 353, 456, 313
1. What is the LCM of 714, 120, 353, 456, 313?
Answer: LCM of 714, 120, 353, 456, 313 is 29977875480.
2. How to calculate the LCM of 714, 120, 353, 456, 313?
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 714, 120, 353, 456, 313.
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}.