LCM of 570, 338, 882, 377, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 338, 882, 377, 746 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 570, 338, 882, 377, 746. So, keep reading to learn more.
Given numbers are 570,338,882,377,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,338,882,377,746 is 153174236670.
Find LCM of 570,338,882,377,746 with Prime Factorization
| 2 | 570, 338, 882, 377, 746 |
| 3 | 285, 169, 441, 377, 373 |
| 13 | 95, 169, 147, 377, 373 |
| 95, 13, 147, 29, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 95 x 13 x 147 x 29 x 373 = 153174236670
Therefore, the lowest common multiple of 570,338,882,377,746 is 153174236670.
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.
570 x 338 x 882 x 377 x 746 = 47790361841040
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
338 : 1, 2, 13, 26, 169, 338
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
377 : 1, 13, 29, 377
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,338,882,377,746, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
338:2x 13x 13
882:2x 3x 3x 7x 7
377:13x 29
746:2x 373
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 13 = 312
Therefore, the value for common factors is 312.
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 = 47790361841040/(1x312)
LCM = 47790361841040/312
LCM = 153174236670
Thus, we can understand that the LCM of 570,338,882,377,746 is 153174236670.
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FAQs on LCM of 570, 338, 882, 377, 746
1. What is the LCM of 570, 338, 882, 377, 746?
Answer: LCM of 570, 338, 882, 377, 746 is 153174236670.
2. How to calculate the LCM of 570, 338, 882, 377, 746?
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 570, 338, 882, 377, 746.
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}.