LCM of 699, 218, 949, 754, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 218, 949, 754, 402 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 699, 218, 949, 754, 402. So, keep reading to learn more.
Given numbers are 699,218,949,754,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,218,949,754,402 is 280978236474.
Find LCM of 699,218,949,754,402 with Prime Factorization
| 2 | 699, 218, 949, 754, 402 |
| 3 | 699, 109, 949, 377, 201 |
| 13 | 233, 109, 949, 377, 67 |
| 233, 109, 73, 29, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 233 x 109 x 73 x 29 x 67 = 280978236474
Therefore, the lowest common multiple of 699,218,949,754,402 is 280978236474.
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.
699 x 218 x 949 x 754 x 402 = 43832604889944
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.
699 : 1, 3, 233, 699
218 : 1, 2, 109, 218
949 : 1, 13, 73, 949
754 : 1, 2, 13, 26, 29, 58, 377, 754
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,218,949,754,402, is 1.
Now, the common factors can be found like this.
699:3x 233
218:2x 109
949:13x 73
754:2x 13x 29
402:2x 3x 67
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 13 = 156
Therefore, the value for common factors is 156.
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 = 43832604889944/(1x156)
LCM = 43832604889944/156
LCM = 280978236474
Thus, we can understand that the LCM of 699,218,949,754,402 is 280978236474.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 699, 218, 949, 754, 402
1. What is the LCM of 699, 218, 949, 754, 402?
Answer: LCM of 699, 218, 949, 754, 402 is 280978236474.
2. How to calculate the LCM of 699, 218, 949, 754, 402?
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 699, 218, 949, 754, 402.
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}.