LCM of 377, 588, 542, 532, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 588, 542, 532, 766 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 377, 588, 542, 532, 766. So, keep reading to learn more.
Given numbers are 377,588,542,532,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,588,542,532,766 is 437159924292.
Find LCM of 377,588,542,532,766 with Prime Factorization
| 2 | 377, 588, 542, 532, 766 |
| 2 | 377, 294, 271, 266, 383 |
| 7 | 377, 147, 271, 133, 383 |
| 377, 21, 271, 19, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 377 x 21 x 271 x 19 x 383 = 437159924292
Therefore, the lowest common multiple of 377,588,542,532,766 is 437159924292.
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.
377 x 588 x 542 x 532 x 766 = 48961911520704
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.
377 : 1, 13, 29, 377
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
542 : 1, 2, 271, 542
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,588,542,532,766, is 1.
Now, the common factors can be found like this.
377:13x 29
588:2x 2x 3x 7x 7
542:2x 271
532:2x 2x 7x 19
766:2x 383
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 48961911520704/(1x112)
LCM = 48961911520704/112
LCM = 437159924292
Thus, we can understand that the LCM of 377,588,542,532,766 is 437159924292.
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FAQs on LCM of 377, 588, 542, 532, 766
1. What is the LCM of 377, 588, 542, 532, 766?
Answer: LCM of 377, 588, 542, 532, 766 is 437159924292.
2. How to calculate the LCM of 377, 588, 542, 532, 766?
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 377, 588, 542, 532, 766.
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}.