LCM of 593, 156, 756, 379, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 593, 156, 756, 379, 706 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 593, 156, 756, 379, 706. So, keep reading to learn more.
Given numbers are 593,156,756,379,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 593,156,756,379,706 is 779711171148.
Find LCM of 593,156,756,379,706 with Prime Factorization
| 2 | 593, 156, 756, 379, 706 |
| 2 | 593, 78, 378, 379, 353 |
| 3 | 593, 39, 189, 379, 353 |
| 593, 13, 63, 379, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 593 x 13 x 63 x 379 x 353 = 779711171148
Therefore, the lowest common multiple of 593,156,756,379,706 is 779711171148.
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.
593 x 156 x 756 x 379 x 706 = 18713068107552
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.
593 : 1, 593
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
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
379 : 1, 379
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,156,756,379,706, is 1.
Now, the common factors can be found like this.
593:593
156:2x 2x 3x 13
756:2x 2x 3x 3x 3x 7
379:379
706:2x 353
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 3 = 24
Therefore, the value for common factors is 24.
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 = 18713068107552/(1x24)
LCM = 18713068107552/24
LCM = 779711171148
Thus, we can understand that the LCM of 593,156,756,379,706 is 779711171148.
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FAQs on LCM of 593, 156, 756, 379, 706
1. What is the LCM of 593, 156, 756, 379, 706?
Answer: LCM of 593, 156, 756, 379, 706 is 779711171148.
2. How to calculate the LCM of 593, 156, 756, 379, 706?
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 593, 156, 756, 379, 706.
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}.