LCM of 785, 369, 758, 697, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 369, 758, 697, 290 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 785, 369, 758, 697, 290. So, keep reading to learn more.
Given numbers are 785,369,758,697,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,369,758,697,290 is 108246072510.
Find LCM of 785,369,758,697,290 with Prime Factorization
| 2 | 785, 369, 758, 697, 290 |
| 5 | 785, 369, 379, 697, 145 |
| 41 | 157, 369, 379, 697, 29 |
| 157, 9, 379, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 41 x 157 x 9 x 379 x 17 x 29 = 108246072510
Therefore, the lowest common multiple of 785,369,758,697,290 is 108246072510.
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.
785 x 369 x 758 x 697 x 290 = 44380889729100
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.
785 : 1, 5, 157, 785
369 : 1, 3, 9, 41, 123, 369
758 : 1, 2, 379, 758
697 : 1, 17, 41, 697
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,369,758,697,290, is 1.
Now, the common factors can be found like this.
785:5x 157
369:3x 3x 41
758:2x 379
697:17x 41
290:2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 41 = 410
Therefore, the value for common factors is 410.
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 = 44380889729100/(1x410)
LCM = 44380889729100/410
LCM = 108246072510
Thus, we can understand that the LCM of 785,369,758,697,290 is 108246072510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 785, 369, 758, 697, 290
1. What is the LCM of 785, 369, 758, 697, 290?
Answer: LCM of 785, 369, 758, 697, 290 is 108246072510.
2. How to calculate the LCM of 785, 369, 758, 697, 290?
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 785, 369, 758, 697, 290.
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}.