LCM of 374, 670, 613, 765, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 670, 613, 765, 693 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 374, 670, 613, 765, 693. So, keep reading to learn more.
Given numbers are 374,670,613,765,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,670,613,765,693 is 4838574510.
Find LCM of 374,670,613,765,693 with Prime Factorization
| 2 | 374, 670, 613, 765, 693 |
| 3 | 187, 335, 613, 765, 693 |
| 3 | 187, 335, 613, 255, 231 |
| 5 | 187, 335, 613, 85, 77 |
| 11 | 187, 67, 613, 17, 77 |
| 17 | 17, 67, 613, 17, 7 |
| 1, 67, 613, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 17 x 1 x 67 x 613 x 1 x 7 = 4838574510
Therefore, the lowest common multiple of 374,670,613,765,693 is 4838574510.
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.
374 x 670 x 613 x 765 x 693 = 81433209003300
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
670 : 1, 2, 5, 10, 67, 134, 335, 670
613 : 1, 613
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,670,613,765,693, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
670:2x 5x 67
613:613
765:3x 3x 5x 17
693:3x 3x 7x 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 5x 11x 17 = 16830
Therefore, the value for common factors is 16830.
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 = 81433209003300/(1x16830)
LCM = 81433209003300/16830
LCM = 4838574510
Thus, we can understand that the LCM of 374,670,613,765,693 is 4838574510.
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FAQs on LCM of 374, 670, 613, 765, 693
1. What is the LCM of 374, 670, 613, 765, 693?
Answer: LCM of 374, 670, 613, 765, 693 is 4838574510.
2. How to calculate the LCM of 374, 670, 613, 765, 693?
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 374, 670, 613, 765, 693.
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}.