LCM of 785, 156, 912, 649, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 156, 912, 649, 407 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, 156, 912, 649, 407. So, keep reading to learn more.
Given numbers are 785,156,912,649,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,156,912,649,407 is 223488030480.
Find LCM of 785,156,912,649,407 with Prime Factorization
| 2 | 785, 156, 912, 649, 407 |
| 2 | 785, 78, 456, 649, 407 |
| 3 | 785, 39, 228, 649, 407 |
| 11 | 785, 13, 76, 649, 407 |
| 785, 13, 76, 59, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 785 x 13 x 76 x 59 x 37 = 223488030480
Therefore, the lowest common multiple of 785,156,912,649,407 is 223488030480.
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 156 x 912 x 649 x 407 = 29500420023360
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
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
649 : 1, 11, 59, 649
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,156,912,649,407, is 1.
Now, the common factors can be found like this.
785:5x 157
156:2x 2x 3x 13
912:2x 2x 2x 2x 3x 19
649:11x 59
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 29500420023360/(1x132)
LCM = 29500420023360/132
LCM = 223488030480
Thus, we can understand that the LCM of 785,156,912,649,407 is 223488030480.
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FAQs on LCM of 785, 156, 912, 649, 407
1. What is the LCM of 785, 156, 912, 649, 407?
Answer: LCM of 785, 156, 912, 649, 407 is 223488030480.
2. How to calculate the LCM of 785, 156, 912, 649, 407?
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, 156, 912, 649, 407.
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}.