LCM of 642, 107, 690, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 107, 690, 802 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 642, 107, 690, 802. So, keep reading to learn more.
Given numbers are 642,107,690,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,107,690,802 is 29605830.
Find LCM of 642,107,690,802 with Prime Factorization
| 2 | 642, 107, 690, 802 |
| 3 | 321, 107, 345, 401 |
| 107 | 107, 107, 115, 401 |
| 1, 1, 115, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 1 x 1 x 115 x 401 = 29605830
Therefore, the lowest common multiple of 642,107,690,802 is 29605830.
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.
642 x 107 x 690 x 802 = 38013885720
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
107 : 1, 107
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,107,690,802, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
107:107
690:2x 3x 5x 23
802:2x 401
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 107 = 1284
Therefore, the value for common factors is 1284.
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 = 38013885720/(1x1284)
LCM = 38013885720/1284
LCM = 29605830
Thus, we can understand that the LCM of 642,107,690,802 is 29605830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 107, 690, 802
1. What is the LCM of 642, 107, 690, 802?
Answer: LCM of 642, 107, 690, 802 is 29605830.
2. How to calculate the LCM of 642, 107, 690, 802?
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 642, 107, 690, 802.
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}.