LCM of 661, 598, 930, 391, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 598, 930, 391, 747 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 661, 598, 930, 391, 747. So, keep reading to learn more.
Given numbers are 661,598,930,391,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,598,930,391,747 is 778043474910.
Find LCM of 661,598,930,391,747 with Prime Factorization
| 2 | 661, 598, 930, 391, 747 |
| 3 | 661, 299, 465, 391, 747 |
| 23 | 661, 299, 155, 391, 249 |
| 661, 13, 155, 17, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 661 x 13 x 155 x 17 x 249 = 778043474910
Therefore, the lowest common multiple of 661,598,930,391,747 is 778043474910.
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.
661 x 598 x 930 x 391 x 747 = 107369999537580
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.
661 : 1, 661
598 : 1, 2, 13, 23, 26, 46, 299, 598
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
391 : 1, 17, 23, 391
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,598,930,391,747, is 1.
Now, the common factors can be found like this.
661:661
598:2x 13x 23
930:2x 3x 5x 31
391:17x 23
747:3x 3x 83
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 23 = 138
Therefore, the value for common factors is 138.
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 = 107369999537580/(1x138)
LCM = 107369999537580/138
LCM = 778043474910
Thus, we can understand that the LCM of 661,598,930,391,747 is 778043474910.
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FAQs on LCM of 661, 598, 930, 391, 747
1. What is the LCM of 661, 598, 930, 391, 747?
Answer: LCM of 661, 598, 930, 391, 747 is 778043474910.
2. How to calculate the LCM of 661, 598, 930, 391, 747?
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 661, 598, 930, 391, 747.
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}.