LCM of 785, 507, 616, 231, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 507, 616, 231, 451 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, 507, 616, 231, 451. So, keep reading to learn more.
Given numbers are 785,507,616,231,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,507,616,231,451 is 10051761720.
Find LCM of 785,507,616,231,451 with Prime Factorization
| 3 | 785, 507, 616, 231, 451 |
| 7 | 785, 169, 616, 77, 451 |
| 11 | 785, 169, 88, 11, 451 |
| 785, 169, 8, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 785 x 169 x 8 x 1 x 41 = 10051761720
Therefore, the lowest common multiple of 785,507,616,231,451 is 10051761720.
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 507 x 616 x 231 x 451 = 25541526530520
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
507 : 1, 3, 13, 39, 169, 507
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
231 : 1, 3, 7, 11, 21, 33, 77, 231
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,507,616,231,451, is 1.
Now, the common factors can be found like this.
785:5x 157
507:3x 13x 13
616:2x 2x 2x 7x 11
231:3x 7x 11
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11x 11 = 2541
Therefore, the value for common factors is 2541.
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 = 25541526530520/(1x2541)
LCM = 25541526530520/2541
LCM = 10051761720
Thus, we can understand that the LCM of 785,507,616,231,451 is 10051761720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 785, 507, 616, 231, 451
1. What is the LCM of 785, 507, 616, 231, 451?
Answer: LCM of 785, 507, 616, 231, 451 is 10051761720.
2. How to calculate the LCM of 785, 507, 616, 231, 451?
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, 507, 616, 231, 451.
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}.