LCM of 702, 950, 221, 854, 633
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 950, 221, 854, 633 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 702, 950, 221, 854, 633. So, keep reading to learn more.
Given numbers are 702,950,221,854,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,950,221,854,633 is 510728359050.
Find LCM of 702,950,221,854,633 with Prime Factorization
| 2 | 702, 950, 221, 854, 633 |
| 3 | 351, 475, 221, 427, 633 |
| 13 | 117, 475, 221, 427, 211 |
| 9, 475, 17, 427, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 9 x 475 x 17 x 427 x 211 = 510728359050
Therefore, the lowest common multiple of 702,950,221,854,633 is 510728359050.
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.
702 x 950 x 221 x 854 x 633 = 79673624011800
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
221 : 1, 13, 17, 221
854 : 1, 2, 7, 14, 61, 122, 427, 854
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,950,221,854,633, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
950:2x 5x 5x 19
221:13x 17
854:2x 7x 61
633:3x 211
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 = 79673624011800/(1x156)
LCM = 79673624011800/156
LCM = 510728359050
Thus, we can understand that the LCM of 702,950,221,854,633 is 510728359050.
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FAQs on LCM of 702, 950, 221, 854, 633
1. What is the LCM of 702, 950, 221, 854, 633?
Answer: LCM of 702, 950, 221, 854, 633 is 510728359050.
2. How to calculate the LCM of 702, 950, 221, 854, 633?
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 702, 950, 221, 854, 633.
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}.