LCM of 619, 756, 364, 186, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 619, 756, 364, 186, 355 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 619, 756, 364, 186, 355. So, keep reading to learn more.
Given numbers are 619,756,364,186,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 619,756,364,186,355 is 66949269660.
Find LCM of 619,756,364,186,355 with Prime Factorization
| 2 | 619, 756, 364, 186, 355 |
| 2 | 619, 378, 182, 93, 355 |
| 3 | 619, 189, 91, 93, 355 |
| 7 | 619, 63, 91, 31, 355 |
| 619, 9, 13, 31, 355 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 619 x 9 x 13 x 31 x 355 = 66949269660
Therefore, the lowest common multiple of 619,756,364,186,355 is 66949269660.
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.
619 x 756 x 364 x 186 x 355 = 11247477302880
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.
619 : 1, 619
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
186 : 1, 2, 3, 6, 31, 62, 93, 186
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,756,364,186,355, is 1.
Now, the common factors can be found like this.
619:619
756:2x 2x 3x 3x 3x 7
364:2x 2x 7x 13
186:2x 3x 31
355:5x 71
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 7 = 168
Therefore, the value for common factors is 168.
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 = 11247477302880/(1x168)
LCM = 11247477302880/168
LCM = 66949269660
Thus, we can understand that the LCM of 619,756,364,186,355 is 66949269660.
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FAQs on LCM of 619, 756, 364, 186, 355
1. What is the LCM of 619, 756, 364, 186, 355?
Answer: LCM of 619, 756, 364, 186, 355 is 66949269660.
2. How to calculate the LCM of 619, 756, 364, 186, 355?
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 619, 756, 364, 186, 355.
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}.