LCM of 705, 374, 319, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 374, 319, 473 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 705, 374, 319, 473. So, keep reading to learn more.
Given numbers are 705,374,319,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,374,319,473 is 328796490.
Find LCM of 705,374,319,473 with Prime Factorization
| 11 | 705, 374, 319, 473 |
| 705, 34, 29, 43 |
Multiply the prime numbers at the bottom and the left side.
11 x 705 x 34 x 29 x 43 = 328796490
Therefore, the lowest common multiple of 705,374,319,473 is 328796490.
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.
705 x 374 x 319 x 473 = 39784375290
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
374 : 1, 2, 11, 17, 22, 34, 187, 374
319 : 1, 11, 29, 319
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,374,319,473, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
374:2x 11x 17
319:11x 29
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 39784375290/(1x121)
LCM = 39784375290/121
LCM = 328796490
Thus, we can understand that the LCM of 705,374,319,473 is 328796490.
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FAQs on LCM of 705, 374, 319, 473
1. What is the LCM of 705, 374, 319, 473?
Answer: LCM of 705, 374, 319, 473 is 328796490.
2. How to calculate the LCM of 705, 374, 319, 473?
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 705, 374, 319, 473.
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}.