LCM of 714, 753, 319, 646, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 753, 319, 646, 363 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, 753, 319, 646, 363. So, keep reading to learn more.
Given numbers are 714,753,319,646,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,753,319,646,363 is 11948376594.
Find LCM of 714,753,319,646,363 with Prime Factorization
| 2 | 714, 753, 319, 646, 363 |
| 3 | 357, 753, 319, 323, 363 |
| 11 | 119, 251, 319, 323, 121 |
| 17 | 119, 251, 29, 323, 11 |
| 7, 251, 29, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 7 x 251 x 29 x 19 x 11 = 11948376594
Therefore, the lowest common multiple of 714,753,319,646,363 is 11948376594.
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 753 x 319 x 646 x 363 = 40218235615404
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
753 : 1, 3, 251, 753
319 : 1, 11, 29, 319
646 : 1, 2, 17, 19, 34, 38, 323, 646
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,753,319,646,363, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
753:3x 251
319:11x 29
646:2x 17x 19
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 17 = 3366
Therefore, the value for common factors is 3366.
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 = 40218235615404/(1x3366)
LCM = 40218235615404/3366
LCM = 11948376594
Thus, we can understand that the LCM of 714,753,319,646,363 is 11948376594.
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FAQs on LCM of 714, 753, 319, 646, 363
1. What is the LCM of 714, 753, 319, 646, 363?
Answer: LCM of 714, 753, 319, 646, 363 is 11948376594.
2. How to calculate the LCM of 714, 753, 319, 646, 363?
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, 753, 319, 646, 363.
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}.