LCM of 749, 623, 930, 561, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 623, 930, 561, 726 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 749, 623, 930, 561, 726. So, keep reading to learn more.
Given numbers are 749,623,930,561,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,623,930,561,726 is 127523159610.
Find LCM of 749,623,930,561,726 with Prime Factorization
| 2 | 749, 623, 930, 561, 726 |
| 3 | 749, 623, 465, 561, 363 |
| 7 | 749, 623, 155, 187, 121 |
| 11 | 107, 89, 155, 187, 121 |
| 107, 89, 155, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 107 x 89 x 155 x 17 x 11 = 127523159610
Therefore, the lowest common multiple of 749,623,930,561,726 is 127523159610.
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.
749 x 623 x 930 x 561 x 726 = 176747099219460
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.
749 : 1, 7, 107, 749
623 : 1, 7, 89, 623
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
561 : 1, 3, 11, 17, 33, 51, 187, 561
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,623,930,561,726, is 1.
Now, the common factors can be found like this.
749:7x 107
623:7x 89
930:2x 3x 5x 31
561:3x 11x 17
726:2x 3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 11 = 1386
Therefore, the value for common factors is 1386.
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 = 176747099219460/(1x1386)
LCM = 176747099219460/1386
LCM = 127523159610
Thus, we can understand that the LCM of 749,623,930,561,726 is 127523159610.
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FAQs on LCM of 749, 623, 930, 561, 726
1. What is the LCM of 749, 623, 930, 561, 726?
Answer: LCM of 749, 623, 930, 561, 726 is 127523159610.
2. How to calculate the LCM of 749, 623, 930, 561, 726?
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 749, 623, 930, 561, 726.
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}.