LCM of 785, 505, 507, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 505, 507, 894 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, 505, 507, 894. So, keep reading to learn more.
Given numbers are 785,505,507,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,505,507,894 is 11978853510.
Find LCM of 785,505,507,894 with Prime Factorization
| 3 | 785, 505, 507, 894 |
| 5 | 785, 505, 169, 298 |
| 157, 101, 169, 298 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 157 x 101 x 169 x 298 = 11978853510
Therefore, the lowest common multiple of 785,505,507,894 is 11978853510.
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 505 x 507 x 894 = 179682802650
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
505 : 1, 5, 101, 505
507 : 1, 3, 13, 39, 169, 507
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,505,507,894, is 1.
Now, the common factors can be found like this.
785:5x 157
505:5x 101
507:3x 13x 13
894:2x 3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 179682802650/(1x15)
LCM = 179682802650/15
LCM = 11978853510
Thus, we can understand that the LCM of 785,505,507,894 is 11978853510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 785, 505, 507, 894
1. What is the LCM of 785, 505, 507, 894?
Answer: LCM of 785, 505, 507, 894 is 11978853510.
2. How to calculate the LCM of 785, 505, 507, 894?
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, 505, 507, 894.
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}.